Results 31 to 40 of about 165,958,425 (294)
On the monoidal invariance of the cohomological dimension of Hopf algebras
Comptes Rendus. Mathématique, 2022 We discuss the question of whether the global dimension is a monoidal invariant for Hopf algebras, in the sense that if two Hopf algebras have equivalent monoidal categories of comodules, then their global dimensions should be equal.
Bichon, Julien
doaj +1 more source
On the commutative algebra of categories [PDF]
Algebraic & Geometric Topology, 2018 51 pages; some proofs and notation clarified; this is the final version to appear in Algebraic and Geometric ...
openaire +3 more sources
Automata Minimization: a Functorial Approach [PDF]
Logical Methods in Computer Science, 2020 In this paper we regard languages and their acceptors - such as deterministic or weighted automata, transducers, or monoids - as functors from input categories that specify the type of the languages and of the machines to categories that specify the type
Thomas Colcombet, Daniela Petrişan
doaj +1 more source
TFSS, 2022 In this paper, we define and study the category of L-algebras, proving that this category has equalizers, coequalizers, kernel pairs and products. We investigate the existence of injective objects in this category and show that an object in the subcategory of cyclic L-algebras is injective if and only if it is a complete and divisible ...
openaire +3 more sources
Prime preideals on bounded EQ-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 EQ-algebras were introduced by Novák in [14] as an algebraic structure of truth values for fuzzy type theory (FFT). In [1], Borzooei et. al. introduced the notion of preideal in bounded EQ-algebras.
Akhlaghinia N. +2 more
doaj +1 more source
Ideals and congruences in $L$-algebras and pre-$L$-algebras [PDF]
Categories and General Algebraic Structures with ApplicationsWe link the recent theory of $L$-algebras to previous notions of Universal Algebra and Categorical Algebra concerning subtractive varieties, commutators, multiplicative lattices, and their spectra.
Marino Gran +2 more
doaj +1 more source
Turing Automata and Graph Machines [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 Indexed monoidal algebras are introduced as an equivalent structure for self-dual compact closed categories, and a coherence theorem is proved for the category of such algebras.
Miklós Bartha
doaj +1 more source
Fusion category algebras [PDF]
Journal of Algebra, 2004 Alperin's weight conjecture is one of the main open problems in representation theory of finite groups. Many reformulations of this conjecture exist. The paper under review presents another such reformulation. This reformulation is an equality between the number of simple modules of a \(p\)-block \(b\) of a finite group \(G\) and the number of simple ...
openaire +3 more sources
Algebraic exponentiation and internal homology in general categories [PDF]
, 2010 Includes bibliographical references (p. 101-102).We study two categorical-algebraic concepts of exponentiation:(i) Representing objects for the so-called split extension functors in semi-abelian and more general categories, whose familiar examples are ...
James Richard Andrew Gray +1 more
core +1 more source
A Category of Ordered Algebras Equivalent to the Category of Multialgebras
Bulletin of the Section of Logic, 2023 It is well known that there is a correspondence between sets and complete, atomic Boolean algebras (\(\textit{CABA}\)s) taking a set to its power-set and, conversely, a complete, atomic Boolean algebra to its set of atomic elements. Of course, such a correspondence induces an equivalence between the opposite category of \(\textbf{Set}\) and the ...
Marcelo Esteban Coniglio +1 more
openaire +4 more sources