Relevant bibliographies by topics / Adjunctions

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

Academic literature on the topic 'Adjunctions'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Adjunctions"

1

Ellerman, David. "Where Do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory." Foundations 5, no. 1 (2025): 10. https://doi.org/10.3390/foundations5010010.

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Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”. The theory is based on object-to-object “chimera morphisms”, “heteromorphisms”, or “hets” between the objects of different categories (e.g., the insertion of generators as a set-to-group map). After showing that heteromorphisms can be treated rigorously using the machinery of category theory (bifunctors), we show that all adjunctions between two c
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KENDZIORRA, ANDREAS, and STEFAN E. SCHMIDT. "THE APPLICATION OF A CHARACTERIZATION OF ADJUNCTIONS." Journal of Algebra and Its Applications 12, no. 02 (2012): 1250155. http://dx.doi.org/10.1142/s0219498812501551.

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David, Ellerman. "BRAIN Journal - Brain Functors: A mathematical model of intentional perception and action." BRAIN - Broad Research in Artificial Intelligence and Neuroscience 7, no. 1 (2016): 5–17. https://doi.org/10.5281/zenodo.1044260.

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ABSTRACT Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics - with adjunctions being the primary lens. If adjunctions are so important in mathematics, then perhaps they will isolate concepts of some importance in the empirical sciences. But the applications of adjunctions have been hampered by an overly restrictive formulation that avoids heteromorphisms or hets. By reformulating an adjunction using hets, it is split into two parts, a left and a right semiadjunction. Semiadjunctions (essentially a for
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Cheng, Eugenia, Nick Gurski, and Emily Riehl. "Cyclic multicategories, multivariable adjunctions and mates." Journal of K-Theory 13, no. 2 (2014): 337–96. http://dx.doi.org/10.1017/is013012007jkt250.

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AbstractA multivariable adjunction is the generalisation of the notion of a 2-variable adjunction, the classical example being the hom/tensor/cotensor trio of functors, ton+ 1 functors ofnvariables. In the presence of multivariable adjunctions, natural transformations between certain composites built from multivariable functors have “dual” forms. We refer to corresponding natural transformations as multivariable or parametrised mates, generalising the mates correspondence for ordinary adjunctions, which enables one to pass between natural transformations involving left adjoints to those involv
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Jay, C. Barry. "Local adjunctions." Journal of Pure and Applied Algebra 53, no. 3 (1988): 227–38. http://dx.doi.org/10.1016/0022-4049(88)90124-7.

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Sebastian, Bino, A. Unnikrishnan, Kannan Balakrishnan, and P. B. Ramkumar. "Mathematical Morphology on Hypergraphs Using Vertex-Hyperedge Correspondence." ISRN Discrete Mathematics 2014 (March 13, 2014): 1–6. http://dx.doi.org/10.1155/2014/436419.

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The focus of this paper is to develop computationally efficient mathematical morphology operators on hypergraphs. To this aim we consider lattice structures on hypergraphs on which we build morphological operators. We develop a pair of dual adjunctions between the vertex set and the hyperedge set of a hypergraph H, by defining a vertex-hyperedge correspondence. This allows us to recover the classical notion of a dilation/erosion of a subset of vertices and to extend it to subhypergraphs of H. This paper also studies the concept of morphological adjunction on hypergraphs for which both the inpu
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Clare, Pierre, Tyrone Crisp, and Nigel Higson. "ADJOINT FUNCTORS BETWEEN CATEGORIES OF HILBERT -MODULES." Journal of the Institute of Mathematics of Jussieu 17, no. 2 (2016): 453–88. http://dx.doi.org/10.1017/s1474748016000074.

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Let$E$be a (right) Hilbert module over a$C^{\ast }$-algebra$A$. If$E$is equipped with a left action of a second$C^{\ast }$-algebra$B$, then tensor product with$E$gives rise to a functor from the category of Hilbert$B$-modules to the category of Hilbert$A$-modules. The purpose of this paper is to study adjunctions between functors of this sort. We shall introduce a new kind of adjunction relation, called a local adjunction, that is weaker than the standard concept from category theory. We shall give several examples, the most important of which is the functor of parabolic induction in the tempe
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Casacuberta, Carles, Oriol Raventós, and Andrew Tonks. "Comparing localizations across adjunctions." Transactions of the American Mathematical Society 374, no. 11 (2021): 7811–65. http://dx.doi.org/10.1090/tran/8382.

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Zangurashvili, D. "Factorization Systems and Adjunctions." gmj 6, no. 2 (1999): 191–200. http://dx.doi.org/10.1515/gmj.1999.191.

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Ardizzoni, Alessandro, and Claudia Menini. "Adjunctions and braided objects." Journal of Algebra and Its Applications 13, no. 06 (2014): 1450019. http://dx.doi.org/10.1142/s0219498814500194.

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In this paper, we investigate the categories of braided objects, algebras and bialgebras in a given monoidal category, some pairs of adjoint functors between them and their relations. In particular, we construct a braided primitive functor and its left adjoint, the braided tensor bialgebra functor, from the category of braided objects to the one of braided bialgebras. The latter is obtained by a specific elaborated construction introducing a braided tensor algebra functor as a left adjoint of the forgetful functor from the category of braided algebras to the one of braided objects. The behavio
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Dissertations / Theses on the topic "Adjunctions"

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Speas, Margaret Jean. "Adjunctions and projections in syntax." Thesis, Massachusetts Institute of Technology, 1986. http://hdl.handle.net/1721.1/15108.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Linguistics and Philosophy, 1986.<br>MICROFICHE COPY AVAILABLE IN ARCHIVES AND HUMANITIES.<br>Bibliography: leaves 325-333.<br>by Margaret Jean Speas.<br>Ph.D.
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Stone, Peter. "Monad-like structures in 2-categories and soft adjunctions." Thesis, University of British Columbia, 1989. http://hdl.handle.net/2429/29299.

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One of the fundamental concepts of ordinary category theory is that of an adjunction. There are analogous notions in 2-category theory one of which is the "soft adjunction" of this thesis. In order to construct examples which exhibit the full generality of this phenomena two constructions for modifying soft adjunctions are described: an "attaching procedure" and a "lifting procedure". These two procedures are shown to be inverses of each other in an suitable sense. A special type of "commutative monad" structure on an object of a 2-category is described and it is shown that this structure ca
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Quellec, Lucie. "Liquides : projections et adjonctions : du contenu élémentaire aux relations segmentales." Electronic Thesis or Diss., Nantes Université, 2024. http://www.theses.fr/2024NANU2017.

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Ce travail est organisé autour de la question des liquides, de leur contenu et de leur structure dans le cadre de la Phonologie du Gouvernement (KAYE, LOWENSTAMM &amp; VERGNAUD 1985, 1990). Après avoir discuté de leur contenu élémentaire et de la pertinence des primitives qui ont pu leur être attribuées, nous interrogeons les relations qu’entretiennent les liquides avec d’autres classes de segments (glides, nasales et obstruantes). Dans la perspective de réduction du set élémentaire (BACKLEY 2011 ; HARRIS 1990) manipulé par la phonologie, nous défendons l’idée que ces éléments ne peuvent s’exp
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Ariotta, Stefano. "Model categories." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9151/.

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Liu, Haidong. "Angehrn-Siu type effective base point freeness for quasi-log canonical pairs." Kyoto University, 2018. http://hdl.handle.net/2433/235048.

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Venturelli, Federico. "The Alexander polynomial of certain classes of non-symmetric line arrangements." Doctoral thesis, Università degli studi di Padova, 2019. http://hdl.handle.net/11577/3422691.

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The Alexander polynomial of a projective hypersurface V ϲ Pᶰ is the characteristic polynomial of the monodromy operator acting on Hᶰ¯¹(F, C), where F is the Milnor fibre of V; unless V is smooth, the problem of its computation is open. The singular hypersurfaces that have drawn the most attention are projectivisations Ᾱ of central hyperplane arrangements A C Cᶰ⁺ ¹, as one can hope to take advantage of the combinatorial nature of such objects; one can assume without loss of generality that n=2. In this Thesis we prove that the Alexander polynomials of line arrangements Ᾱ C P² belonging to som
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Reis, Carla David. "Topology via enriched categories." Doctoral thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/12878.

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Doutoramento conjunto em Matemática - Matemática e Aplicações (PDMA)<br>Having as a starting point the characterization of probabilistic metric spaces as enriched categories over the quantale , conditions that allow the generalization of results relating Cauchy sequences, convergence of sequences, adjunctions of V-distributors and its representability are established. Equivalence between L-completeness and L-injectivity is also established. L-completeness is characterized via the Yoneda embedding, and injectivity is related with exponentiability. Another kind of completeness is conside
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Ortigas, Galindo Jorge. "Invariants algébriques et topologiques des courbes et surfaces à singularités quotient." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3011/document.

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Le but principal de cette thèse de doctorat est l'étude de l'anneau de cohomologie du complément d'une courbe algébrique réduite dans le plan projectif pondéré complexe dont les composantes irréductibles sont des courbes rationnelles (avec ou sans points singuliers). En particulier, des représentants holomorphes (rationnels) sont obtenus pour les classes de cohomologie. Pour atteindre notre objectif, il est nécessaire de développer une théorie algébrique des courbes sur des surfaces avec des singularités quotient et d'étudier des techniques pour calculer certains invariants particulièrement ut
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Gilbride, E. A. Bridget. "Adjunctions and monads in categories and 2-categories." Thesis, 2003. http://hdl.handle.net/2429/14986.

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The study of 2-categories extends many of the constructions within category theory itself. In particular, this thesis investigates the important categorical constructions of an adjunction and a monad within the context of a 2-category. Chapter 1 introduces the fundamental notions of category theory, with an emphasis on presenting a wide variety of examples. It is a goal of this chapter that a reader unfamiliar with category theory is provided with sufficient background to follow subsequent chapters, as well as gain an appreciation for the power of category theory throughout mathematics.
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Bagheri, Saeid [Verfasser]. "Hom-tensor adjunctions for quasi Hopf algebras / vorgelegt von Saeid Bagheri." 2008. http://d-nb.info/991213734/34.

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Books on the topic "Adjunctions"

1

John, Sommese Andrew, ed. The adjunction theory of complex projective varieties. W. de Gruyter, 1995.

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Gene, Rosch, and Langley Research Center, eds. Semi-Markov adjunction to the CAME program. National Aeronautics and Space Administration, Langley Research Center, 1988.

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Andreatta, Marco. Morphisms of projective varieties from the viewpoint of minimal model theory. Polska Akademia Nauk, Instytut Matematyczny, 2003.

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Khalaily, Samir. One syntax for all categories: Merginmg nominal atoms in multiple adjunction structures. Holland Institute of Generative Linguistics, 1997.

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Schneider, Michael, 1942 May 18- and Sommese Andrew John, eds. Some special properties of the adjunction theory for 3-folds in P⁵. American Mathematical Society, 1995.

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Comenius, Johann Amos. Janua linguarum trilinguis, sive, Johannis-Amos-Comenii janua linguarum: Novissime ab ipso authore recognita, aucta, emendata : adjunctis metaphrasi Graeca et Anglicana versione. Typis J. Redmayne, & veneunt apud J. Williams, 1985.

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D, Kisner, Smyth John F, and International Conference on Malignant Lymphoma (2nd : 1984 : Lugano, Switzerland), eds. Interferon alpha-2: Pre-clinical and clinical evaluation : proceedings of the symposium held in adjunction with the Second International Conference on Malignant Lymphoma, Lugano, Switzerland, June 13, 1984. Nijhoff, 1985.

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Johnson, Niles, and Donald Yau. 2-Dimensional Categories. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198871378.001.0001.

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2-Dimensional Categories provides an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories; pasting diagrams; lax functors; 2-/bilimits; the Duskin nerve; the 2-nerve; internal adjunctions; monads in bicategories; 2-monads; biequivalences; the Bicategorical Yoneda Lemma; and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray
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Mathieu, Éric, Brandon J. Fry, and Michael Barrie. Adjunction of complex heads inside words. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198778264.003.0011.

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Piggott and Travis (2013) argue that Ojibwe words, despite their flagrant complexity, are complex heads. In order to maintain this analysis, they claim that complex adjuncts inside Ojibwe words must be complex heads formed in a separate workspace before being adjoined to the main structure. This chapter argues that nothing in their argumentation requires these adjuncts to be complex heads. Their analysis in terms of the independent spell-out of adjuncts goes through equally well if these adjuncts are analysed as phrasal elements. Furthermore, it is shown that by analysing Ojibwe words as phras
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Adjunction Theory of Complex Projective Varieties. De Gruyter, Inc., 1995.

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Book chapters on the topic "Adjunctions"

1

Došen, Kosta. "Adjunctions." In Cut Elimination in Categories. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-1207-1_5.

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Rydeheard, David E. "Adjunctions." In Category Theory and Computer Programming. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/3-540-17162-2_116.

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Coecke, Bob, and David Moore. "Operational Galois Adjunctions." In Current Research in Operational Quantum Logic. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1201-9_8.

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Borceux, Francis. "Adjunctions and Monads." In Coimbra Mathematical Texts. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58460-2_6.

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Richter, G. "Reflective Relatives of Adjunctions." In Categorical Topology. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0263-3_3.

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May, J., and J. Sigurdsson. "Adjunctions and compatibility relations." In Parametrized Homotopy Theory. American Mathematical Society, 2006. http://dx.doi.org/10.1090/surv/132/13.

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Hinze, Ralf. "Generic Programming with Adjunctions." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32202-0_2.

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Land, Markus. "Adjunctions and Adjoint Functor Theorems." In Compact Textbooks in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61524-6_5.

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Meyer, Fernand. "Adjunctions on the Lattice of Dendrograms." In Graph-Based Representations in Pattern Recognition. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38221-5_10.

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Keshet, Renato, and Henk J. A. M. Heijmans. "Adjunctions in Pyramids and Curve Evolution." In Scale-Space and Morphology in Computer Vision. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-47778-0_13.

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Conference papers on the topic "Adjunctions"

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Cabrera, Inma P., Pablo Cordero, and Manuel Ojeda-Aciego. "Towards relational fuzzy adjunctions." In 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2017. http://dx.doi.org/10.1109/fuzz-ieee.2017.8015677.

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Cabrera, Inma P., Pablo Cordero, and Manuel Ojeda-Aciego. "On fuzzy relations, adjunctions, and functional fuzzy relations." In 2016 IEEE Symposium Series on Computational Intelligence (SSCI). IEEE, 2016. http://dx.doi.org/10.1109/ssci.2016.7850149.

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OJIMA, IZUMI. "GENERALIZED SECTORS AND ADJUNCTIONS TO CONTROL MICRO-MACRO TRANSITIONS." In Quantum Information and Computing. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774491_0022.

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SHI, Y., and E. E. KERRE. "FUZZY ADJUNCTIONS AND FUZZY MORPHOLOGICAL OPERATIONS BASED ON FUZZY IMPLICATIONS." In Proceedings of the 8th International FLINS Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812799470_0092.

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Brecq, Guillaume, Je´roˆme Bellettre, Mohand Tazerout, and Thomas Muller. "Knock Prevention of Gas SI Engine by Adjunction of Inert Gases to the Fuel." In 2002 International Joint Power Generation Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/ijpgc2002-26112.

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This work focuses on the prevention from knock in the case of SI engines supplied by natural gas network. The effect of two inert gases (N2 and CO2) adjunction is experimentally studied. The added quantities are between 0% and 25% in volume for N2 and between 0% and 15% for CO2. A significant increase of the Knock Limited Spark Timing (KLST) is measured in all the cases. A twice-higher augmentation is noted when CO2 is added compared to N2 for an equivalent volumetric concentration. The overall augmentation varies between +1 to +6 °CA depending on the operation. Finally, a law for predicting t
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IRURTZUN, ARITZ. "LABELS AND RECURSION: FROM ADJUNCTION SYNTAX TO PREDICATE-ARGUMENT RELATIONS." In Proceedings of the 7th International Conference (EVOLANG7). WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812776129_0074.

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Curien, Pierre-Louis, Marcelo Fiore, and Guillaume Munch-Maccagnoni. "A theory of effects and resources: adjunction models and polarised calculi." In POPL '16: The 43rd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages. ACM, 2016. http://dx.doi.org/10.1145/2837614.2837652.

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Yukhanov, Yu V., A. V. Gevorkyan, and Privalova Tyu. "Radiation characteristics of Vivaldi antenna on the surface of the wedge-cylinder adjunction." In 2016 IEEE 5th Asia-Pacific Conference on Antennas and Propagation (APCAP). IEEE, 2016. http://dx.doi.org/10.1109/apcap.2016.7843184.

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Parent, Guillaume, Stephane Duchesne, and Patrick Dular. "Determination of flux tube portions by adjunction of electric or magnetic multivalued equipotential lines." In 2016 IEEE Conference on Electromagnetic Field Computation (CEFC). IEEE, 2016. http://dx.doi.org/10.1109/cefc.2016.7816162.

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Gevorkyan, A. V., and Yu V. Yukhanov. "The Radiation Characteristics Of The Two-Element Vivaldi Antenna, Which Located On The Surface Of The Sphere-Cone-Sphere Adjunction." In 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2018. http://dx.doi.org/10.1109/iceaa.2018.8520530.

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