Academic literature on the topic 'Toric face rings'

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Journal articles on the topic "Toric face rings"

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Ichim, Bogdan, and Tim Römer. "On toric face rings." Journal of Pure and Applied Algebra 210, no. 1 (2007): 249–66. http://dx.doi.org/10.1016/j.jpaa.2006.09.010.

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2

Ambro, Florin. "On toric face rings I." European Journal of Mathematics 4, no. 3 (2018): 708–31. http://dx.doi.org/10.1007/s40879-018-0249-6.

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Ichim, Bogdan, and Tim Römer. "On Canonical Modules of Toric Face Rings." Nagoya Mathematical Journal 194 (2009): 69–90. http://dx.doi.org/10.1017/s0027763000009636.

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AbstractGeneralizing the concepts of Stanley-Reisner and affine monoid algebras, one can associate to a rational pointed fan Σ in ℝd the ℤd-graded toric face ring K[Σ]. Assuming that K[Σ] is Cohen-Macaulay, the main result of this paper is to characterize the situation when its canonical module is isomorphic to a ℤd-graded ideal of K[Σ]. From this result several algebraic and combinatorial consequences are deduced. As an application, we give a relation between the cleanness of K[Σ] and the shellability of Σ.
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Okazaki, Ryota, and Kohji Yanagawa. "Dualizing Complex of a Toric Face Ring." Nagoya Mathematical Journal 196 (2009): 87–116. http://dx.doi.org/10.1017/s0027763000009806.

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A toric face ring, which generalizes both Stanley-Reisner rings and affine semigroup rings, is studied by Bruns, Römer and their coauthors recently. In this paper, under the “normality” assumption, we describe a dualizing complex of a toric face ring R in a very concise way. Since R is not a graded ring in general, the proof is not straightforward. We also develop the square-free module theory over R, and show that the Cohen-Macaulay, Buchsbaum, and Gorenstein* properties of R are topological properties of its associated cell complex.
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5

Nguyen, Dang Hop. "On the Koszul property of toric face rings." Journal of Commutative Algebra 6, no. 2 (2014): 233–59. http://dx.doi.org/10.1216/jca-2014-6-2-233.

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Nguyen, Dang Hop. "Seminormality and local cohomology of toric face rings." Journal of Algebra 371 (December 2012): 536–53. http://dx.doi.org/10.1016/j.jalgebra.2012.08.017.

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Yanagawa, Kohji. "Dualizing complexes of seminormal affine semigroup rings and toric face rings." Journal of Algebra 425 (March 2015): 367–91. http://dx.doi.org/10.1016/j.jalgebra.2014.11.013.

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Casalaina-Martin, Sebastian, Jesse Kass, and Filippo Viviani. "The geometry and combinatorics of cographic toric face rings." Algebra & Number Theory 7, no. 8 (2013): 1781–815. http://dx.doi.org/10.2140/ant.2013.7.1781.

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Brun, Morten, and Tim Römer. "On algebras associated to partially ordered sets." MATHEMATICA SCANDINAVICA 103, no. 2 (2008): 169. http://dx.doi.org/10.7146/math.scand.a-15076.

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We continue the work [2] on sheaves of rings on finite posets. We present examples where the ring of global sections coincide with toric faces rings, quotients of a polynomial ring by a monomial ideal and algebras with straightening laws. We prove a rank-selection theorem which generalizes the well-known rank-selection theorem of Stanley-Reisner rings. Finally, we determine an explicit presentation of certain global rings of sections.
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Soares and Castellã Pergher. "Influence of the Brønsted Acidity on the Ring Opening of Decalin for Pt-USY Catalysts." Catalysts 9, no. 10 (2019): 786. http://dx.doi.org/10.3390/catal9100786.

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A challenging hot topic faced by the oil refinery industry is the upgrading of low-quality distillate fractions, such as light cycle oil (LCO), in order to meet current quality standards for diesel fuels. An auspicious technological alternative entails the complete saturation of the aromatic structures followed by the selective cleavage of endocyclic carbon-carbon bonds in the formed naphthenic rings (selective ring opening—SRO). This work reports the influence of Brønsted acid sites of platinum-ultra stable Y zeolite (Pt-USY) catalysts in the SRO of decalin as a model naphthenic feed. A maxim
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Dissertations / Theses on the topic "Toric face rings"

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Nguyen, Dang Hop. "Homological and combinatorial properties of toric face rings." Doctoral thesis, 2012. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2012082110274.

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Toric face rings are a generalization of Stanley-Reisner rings and affine monoid rings. New problems and results are obtained by a systematic study of toric face rings, shedding new lights to the understanding of Stanley-Reisner rings and affine monoid rings. We study algebra retracts of Stanley-Reisner rings, in particular, classify all the $\mathbb{Z}$-graded algebra retracts. We consider the Koszul property of toric face rings via Betti numbers and properties of the defining ideal. The last chapter is devoted to local cohomology of seminormal toric face rings and applications to singulariti
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Books on the topic "Toric face rings"

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1975-, Panov Taras E., ed. Toric topology. American Mathematical Society, 2015.

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Book chapters on the topic "Toric face rings"

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Ambro, Florin. "On Toric Face Rings II." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-90493-1_1.

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Conference papers on the topic "Toric face rings"

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Cangussu, Arthur Henrique Magela, and Leonardo Baptista. "Estudo teórico da nitração de anéis aromáticos em fase gasosa." In VIII Simpósio de Estrutura Eletrônica e Dinâmica Molecular. Universidade de Brasília, 2002. http://dx.doi.org/10.21826/viiiseedmol202013.

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Nitro-aromatics compounds are more toxic and cancerous than their aromatics parents. Unfortunately, these compounds were identified in Diesel engines emissions and in particulate matter collected in urban areas. By these reasons, the present project aims to investigate the gas phase mechanism of the aromatic nitration following two proposals found in the literature. The proposed mechanisms have been studied by methods based on density functional theory: M06-2X, B3LYP and B2PLYP. Further, the electronic energy of all molecules that take part in the mechanism has been corrected by CCSD(T) method
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Xia, Chunguang, and Nicholas Fang. "Enhanced Mass Transport Through Permeable Polymer Microcirculatory Networks." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-15408.

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One of the obstacles of culturing functioning vital tissues in vitro is to obtain a substantial biomass at a physiological cell density (>108cells/cm3). At this high density, the diffusion length of metabolites is limited to ~100um. As a matter of fact, in real tissue, almost all the cells are located within 100um distance from the capillaries [1]. Studies [2, 3] also confirmed that the cells in the artificial tissue cannot be properly cultured when they are further than 400um from the external nutrient source. Therefore, to culture three dimensional artificial tissue with substantial b
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