Relevant bibliographies by topics / Complete local ring

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Complete local ring'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Complete local ring"

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Asadollahi, Javad, and Shokrollah Salarian. "Complete Cohomologies and Some Homological Invariants." Algebra Colloquium 14, no. 01 (2007): 155–66. http://dx.doi.org/10.1142/s1005386707000156.

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There is a complete cohomology theory developed over a commutative noetherian ring in which injectives take the role of projectives in Vogel's construction of complete cohomology theory. We study the interaction between this complete cohomology, that is referred to as [Formula: see text]-complete cohomology, and Vogel's one and give some sufficient conditions for their equivalence. Using [Formula: see text]-complete functors, we assign a new homological invariant to any finitely generated module over an arbitrary commutative noetherian local ring, that would generalize Auslander's delta invari
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Byun, H. Linda, Lothar Redlin, and Saleem Watson. "Local invertibility in subrings of C*(X)." Bulletin of the Australian Mathematical Society 46, no. 3 (1992): 449–58. http://dx.doi.org/10.1017/s0004972700012119.

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It is known that the maximal ideals in the rings C(X) and C*(X) of continuous and bounded continuous functions on X, respectively, are in one-to-one correspondence with βX. We have shown previously that the same is true for any ring A(X) between C(X) and C*(X). Here we consider the problem for rings A(X) contained in C*(X) which are complete rings of functions (that is, they contain the constants, separate points and closed sets, and are uniformly closed). For every noninvertible f ∈ A(X), we define a z–filter ZA(f) on X which, in a sense, provides a measure of where f is ‘locally invertible’.
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Verma, J. K. "Joint reductions of complete ideals." Nagoya Mathematical Journal 118 (June 1990): 155–63. http://dx.doi.org/10.1017/s0027763000003044.

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The aim of this paper is to extend and unify several results concerning complete ideals in 2-dimensional regular local rings by using the theory of joint reductions and mixed multiplicities. The theory of complete ideals in a 2-dimensional regular local ring was developed by Zariski in his 1938 paper [Z]. This theory is presented in a simpler and general form in [ZS, Appendix 5] and [H2].
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Stoltenberg-Hansen, V., and J. V. Tucker. "Complete local rings as domains." Journal of Symbolic Logic 53, no. 2 (1988): 603–24. http://dx.doi.org/10.1017/s0022481200028498.

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Contents: Introduction. §1: Computable rings and modules. §2: Ideal membership relation. §3: Effective structured domains. §4: Completion of a local ring as a domain. §5: The recursive completion. Epilogue. References.Introduction. Completion is an important general mathematical device. Often, but not always, a completion takes the following form. Let A be a topological algebraic structure whose topology is derived from a metric. For A, a topological algebra  and an embedding i: A →  are constructed such that  is a complete metric space in which A is densely embedded by i. The long list of
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Johnson, E. W., and Johnny A. Johnson. "Representations of complete regular local noether lattices." Tamkang Journal of Mathematics 39, no. 2 (2008): 137–42. http://dx.doi.org/10.5556/j.tkjm.39.2008.24.

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In this paper, we prove the uniqueness of the the ring of representation for any complete regular local Noether lattice. We investigate conditions for representability and obtain a form of necessary and sufficient condition.
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Alolaiyan, Hanan Abdulaziz. "Existence Of Coefficient Subring for Transcendental Extension Ring." JOURNAL OF ADVANCES IN MATHEMATICS 13, no. 3 (2016): 7195–204. http://dx.doi.org/10.24297/jam.v13i3.6088.

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As a consequence of Cohen's structure Theorem for complete local rings that every _nite commutative ring R of characteristic pn contains a unique special primary subring R0 satisfying R/J(R) = R0/pR0: Cohen called R0 the coe_cient subring of R. In this paper we will study the case when the ring is a transcendental extension local artinian duo ring R; we proved that even in this case R will has a commutative coe_cient subring.
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Mafi, Amir, and Hossein Zakeri. "A Note on Local Cohomology." Algebra Colloquium 15, no. 01 (2008): 97–100. http://dx.doi.org/10.1142/s1005386708000096.

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A certain set of associated primes of the Matlis duality of any top local cohomology module of a complete filter local ring is characterized. Also, it is proved that the set of associated primes of a finitely generated module over a four-dimensional local ring is finite.
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Heinzer, William, Mee-Kyoung Kim, and Matthew Toeniskoetter. "Finitely supported ⁎-simple complete ideals in a regular local ring." Journal of Algebra 401 (March 2014): 76–106. http://dx.doi.org/10.1016/j.jalgebra.2013.11.010.

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Bahmanpour, Kamal, and Reza Naghipour. "Faltings’ Finiteness Dimension of Local Cohomology Modules Over Local Cohen–Macaulay Rings." Canadian Mathematical Bulletin 60, no. 2 (2017): 225–34. http://dx.doi.org/10.4153/cmb-2016-092-9.

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AbstractLet (R, m) denote a local Cohen–Macaulay ring and I a non-nilpotent ideal of R. The purpose of this article is to investigate Faltings’ finiteness dimension fI(R) and the equidimensionalness of certain homomorphic images of R. As a consequence we deduce that fI(R) = max{1, ht I}, and if mAssR(R/I) is contained in AssR(R), then the ring is equidimensional of dimension dim R−1. Moreover, we will obtain a lower bound for injective dimension of the local cohomology module , in the case where (R,m) is a complete equidimensional local ring.
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Rush, David E. "Artin Rings with Two-Generated Ideals." Canadian Mathematical Bulletin 35, no. 1 (1992): 133–35. http://dx.doi.org/10.4153/cmb-1992-019-3.

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AbstractIt is shown that each commutative Artin local ring having each of its ideals generated by two elements is the homomorphic image of a one-dimensional local complete intersection ring which also has each of its ideals generated by two elements. It is indicated how this can be applied to show that the property that each ideal is projective over its endomorphism ring does not pass to homomorphic images, and in determining the commutative group rings with the two-generator property.
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Dissertations / Theses on the topic "Complete local ring"

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Monday, Casey R. "A Characterization of Serre Classes of Reflexive Modules Over a Complete Local Noetherian Ring." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/13.

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Serre classes of modules over a ring R are important because they describe relationships between certain classes of modules and sets of ideals of R. We characterize the Serre classes of three different types of modules. First we characterize all Serre classes of noetherian modules over a commutative noetherian ring. By relating noetherian modules to artinian modules via Matlis duality, we characterize the Serre classes of artinian modules. A module M is reflexive with respect to E if the natural evaluation map from M to its bidual is an isomorphism. When R is complete local and noetherian, tak
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Nemati, Navid. "Syzygies : algebra, combinatorics and geometry." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS284.

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La régularité de Castelnuovo-Mumford est l'un des principaux invariants numériques permettant de mesurer la complexité de la structure des modules gradués de type fini sur des anneaux polynomiaux. Il mesure le degré maximal des générateurs des modules de syzygies. Dans cette thèse, nous étudions la régularité de Castelnuovo-Mumford avec différents points de vue et, dans certaines parties, nous nous concentrons principalement sur les syzygies linéaires. Dans le chapitre 2, nous étudions la régularité des homologies de Koszul et des cycles de Koszul de quotients unidimensionnels. Dans le chapitr
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Books on the topic "Complete local ring"

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Jumping numbers of a simple complete ideal in a two-dimensional regular local ring. American Mathematical Society, 2011.

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E, Hakes Dan, and Chappell Laura, eds. The complete guide to NetWare LAN analysis. 3rd ed. Network Press, 1996.

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Matsumi, Kazuya. Arithmetic of three-dimensional complete regular local rings of positive characteristics. Tohoku University, 1999.

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1947-, Herzog Jürgen, ed. Gröbner bases in commutative algebra. American Mathematical Society, 2012.

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1975-, Champanerkar Abhijit, ed. Interactions between hyperbolic geometry, quantum topology, and number theory: Workshop, June 3-13, 2009, conference, June 15-19, 2009, Columbia University, New ork, NY. American Mathematical Society, 2011.

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Zbigniew, Hajto, ed. Algebraic groups and differential Galois theory. American Mathematical Society, 2011.

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Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles: Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Edited by Ellwood D. (David) 1966- and Previato Emma. American Mathematical Society, 2011.

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Burgos Gil, José I. (José Ignacio), 1962- editor, ed. Feynman amplitudes, periods, and motives: International research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matematicas, Madris, Spain. American Mathematical Society, 2015.

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M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Quadratic Forms over a ∈ Local Field. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0007.

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This chapter presents various results about quadratic forms over a field complete with respect to a discrete valuation. The discussion is based on the assumption that K is a field of arbitrary characteristic which is complete with respect to a discrete valuation ν‎ and uses the usual convention that ν‎(0) = infinity. The chapter starts with a notation regarding the ring of integers of K and the natural map from it to the residue field, followed by a number of propositions regarding an anisotropic quadratic space. These include an anisotropic quadratic space with residual quadratic spaces, an u
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Book chapters on the topic "Complete local ring"

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Greco, Silvio, and Karlheinz Kiyek. "General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring." In Algebra, Arithmetic and Geometry with Applications. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18487-1_24.

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Greuel, Gert-Martin, and Gerhard Pfister. "Complete Local Rings." In A Singular Introduction to Commutative Algebra. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04963-1_6.

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Buchsbaum, D. "Complexes in Local Ring Theory." In Some Aspects of Ring Theory. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11036-8_5.

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Ojanguren, Manuel, and Raman Parimala. "Quadratic Forms over Complete Local Rings." In Advances in Algebra and Geometry. Hindustan Book Agency, 2003. http://dx.doi.org/10.1007/978-93-86279-12-5_5.

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Huneke, Craig. "Complete Ideals in Two-Dimensional Regular Local Rings." In Mathematical Sciences Research Institute Publications. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3660-3_16.

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Praagman, C. "Iterations and logarithms of automorphisms of complete local rings." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0076426.

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Mumford, David. "An Analytic Construction of Degenerating Curves Over Complete Local Rings." In Selected Papers. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4265-7_5.

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"Applications of complete local rings." In Commutative Ring Theory. Cambridge University Press, 1987. http://dx.doi.org/10.1017/cbo9781139171762.014.

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Scholze, Peter, and Jared Weinstein. "Shtukas with one leg III." In Berkeley Lectures on p-adic Geometry. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202082.003.0014.

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This chapter presents a third lecture on one-legged shtukas. The goal is to complete the proof of Fargues' theorem. To complete the proof of Fargues' theorem, it remains to prove the following result, where Y = Spa A<sub>inf</sub> REVERSE SOLIDUS {xk}. Theorem 14.2.1 posits that there is an equivalence of categories between finite free A<sub>inf</sub>-modules and vector bundles on Y. One should think of this as being an analogue of a classical result: If (R, m) is a 2-dimensional regular local ring, then finite free R-modules are equivalent to vector bundles on (Spec R)REVERSE SOLIDUS {m}. The chapter then provides a proof of Theorem 14.2.1.
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"Chapter V Complete Local Rings." In Topological Rings. Elsevier, 1993. http://dx.doi.org/10.1016/s0304-0208(08)72492-7.

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Conference papers on the topic "Complete local ring"

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Shih, Tzu-Ching, Tzyy-Leng Horng, and Fong-Lin Chen. "Computational Fluid Dynamics Simulation of Airflow Alteration in the Trachea Before and After Vascular Ring Surgery." In ASME 2013 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/sbc2013-14360.

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Vascular rings, congenital intracardic anomalies of the aortic arch and the vessels emerging from the heart, completely encircle the trachea and esophagus [1]. The vascular ring results in narrowing and obstruction of the trachea and the esophagus. Due to the existence of a complete or partial vascular ring compressing either the trachea or esophagus, symptoms of a vascular ring in children include cough, stridor, chronic cough, dysphagia, persistent wheeze, and noisy breathing [2]. Some studies reported that the vascular ring surgery provides an excellent chance to improve the patient respira
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Mitchell, Thomas M., Rolf G. Lueck, Michael J. Vogel, Robert E. Raye, and George Z. Forristall. "Turbulence Measurements in a Gulf of Mexico Warm-Core Ring." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29321.

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Oceanographic measurements were made in a Loop Current Eddy in the Gulf of Mexico to characterize the turbulence associated with these eddies. Measurements were made within the eddy, and across the strong frontal boundary delineating the eddy from the surrounding waters. The survey was conducted August 23–30, 2003, from the R/V Pelican. The towed vehicle, the TOMI, was equipped with a special 300 kHz acoustic Doppler current profiler (Medusa ADCP) that had its four beams directed fore, port, starboard and down. The along-beam velocities resolved structures with wavelengths of 4 to 60 m. The ve
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Majcherczak, D., P. Dufrenoy, and Y. Berthier. "Experimental Thermal Study of Contact With Third Body." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-63363.

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The thermal study of sliding contact is complex due to numerous physical aspects highly coupled. Heat generation mechanisms are still badly known due to the complex interactions between mechanical, thermal and physico-chemical behaviours and surface degradations. In the goal to better appreciate the third body role on the thermal aspect, an experimental set-up has been realized. It consists in two rings sliding to each other, the first one is made of sapphire (rotating ring) and the second one is made of steel (fixed ring). The temperatures are obtained by an infrared camera scanning through t
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Kidner, Mike, Marty Johnson, and Brad Batton. "Distributed Sensors for Active Structural Acoustic Control Using Large Hierarchical Control Systems." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-42271.

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The active structural acoustic control of sound radiation in large structures, such as launch vehicle payload fairings, can require very complex control systems if the control architecture is centralized. For this reason hierarchical, decentralized, control architectures have been suggested as one method of simplifying the complexity of the system and improving the robustness of the system to failures. In a hierarchical configuration, individual actuators or groups of actuators act on local information and use this information to drive the system locally. Higher level, slower acting, master co
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Pease, Leonard F., Judith Ann Bamberger, Lenna A. Mahoney, S. Thomas Yokuda, and Michael J. Minette. "A Simple Criterion to Estimate Performance of Pulse Jet Mixed Vessels." In ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fedsm2016-7751.

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Pulse jet mixed process vessels comprise a key element of the U.S. Department of Energy’s strategy to process millions of gallons of legacy nuclear waste slurries. Slurry suctioned into a pulse jet mixer (PJM) tube at the end of one pulse is pneumatically driven from the PJM toward the bottom of the vessel at the beginning of the next pulse, forming a jet. The jet front traverses the distance from nozzle outlet to the bottom of the vessel and spreads out radially. Varying numbers of PJMs are typically arranged in a ring configuration within the vessel at a selected radius and operated concurre
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Bhatia, Neeraj. "Rewiring Territories: The Future Production of Extraction Infrastructure." In 2016 ACSA International Conference. ACSA Press, 2016. http://dx.doi.org/10.35483/acsa.intl.2016.35.

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The disjuncture between a territorial infrastructure and local cultures is most overtly witnessed in the development of pipelines, which are large infrastructural conduits used to transport oil or gas, deployed primarily between points of extraction and refining. This article examines the typology of the pipeline and its relationship to both territorial and local systems for their eventual future productions. Specifically, it focuses on the South American “Uruguayana-Porto Alegre Pipeline”, which will unify a series of separate pipelines developed over the past two decades. Spanning 3,100 kilo
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Kim, Seon Ho, Kyeong Hwan Ahn, Jun Su Park, Eui Yeop Jung, Ki-Young Hwang, and Hyung Hee Cho. "Local Heat and Mass Transfer Characteristics for Multi-Layered Impingement/Effusion Cooling." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43831.

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Multi-layered impingement/effusion cooling is an advanced cooling configuration that combines impingement jet cooling, pin cooling, and effusion cooling. The arrangement of the pins is a critical design factor because of the complex heat transfer in the internal structure. Therefore, it is important to measure the local heat transfer at all internal surfaces as a function of the pin spacing. In this study, a naphthalene sublimation method was employed to measure the details of the heat/mass transfer at the internal surfaces, including the injection plate, effusion plates, and the pins. An stag
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Edmans, Ben, Giulio Alfano, and Hamid Bahai. "Large-Scale Analysis and Local Stress Assessment of Flexible Unbonded Pipes Using FEA." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-84249.

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Lifespan assessment of flexible risers involves the evaluation of fatigue parameters, requiring accurate predictions of stresses and their variation in pipe components. For predicting the effect of complex three-dimensional nonlinear dynamics on component stress histories, multi-scale methods can combine generality of application with computational efficiency. In this paper, we describe the development of a two-scale computational homogenisation procedure linking a coarse-scale analysis model using specialised beam elements, and a detailed stress prediction model consisting of a pipe section w
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Dai, Sumei, El-Sayed Aziz, Sven K. Esche, and Constantin Chassapis. "A Remotely Accessed Flow Rig Student Laboratory." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-69243.

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The movement of a fluid represents a fundamental phenomenon with many practical applications in a variety of engineering disciplines. The losses incurred in pipes, ducts and fittings and the characteristics of the corresponding fluid flow patterns are core subjects of undergraduate engineering courses in fluid mechanics. These courses are typically accompanied by laboratory components that aim to help the students in visualizing and understanding the complex theoretical concepts. Conducting hands-on experiments in undergraduate laboratory courses with large student enrollment imposes significa
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Ay, Herchang, Chih-Hao Chou, and Bing-Yi Chen. "Thermo-Fluid-Dynamic Diagnostics in Multiple-Intersection Flow Network Using IR Thermometry and DPIV." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47569.

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A multiple-intersecting flow network is common in biological and industrial systems such as the human vascular system, the internal coolant passage of turbine blade inside gas turbine engine, the liquid cooling channel inside electronic modules. An infrared thermovision system is used to map the detail local convective heat transfer coefficients for the multiple-intersection flow network consisting of a 30° intersection angle. In addition, a digital particle image velocimetry (DPIV) system had been developed to measure instantaneous and ensemble-averaged flow fields in the multiple-intersectio
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