Results 11 to 20 of about 34,808 (248)
Proceedings of the American Mathematical Society, 1978 A representable monoid is one with enough representative functions to separate points. It is shown that the monoid algebra of a representable monoid is a proper algebra. In particular, the group algebra of a residually-finite group is a proper algebra. It is also shown that the free product of two representable monoids is again representable.
Earl J. Taft
openaire +3 more sources
International Journal of Algebra and Computation, 2015 A monoid M is called surjunctive if every injective cellular automata with finite alphabet over M is surjective. We show that all finite monoids, all finitely generated commutative monoids, all cancellative commutative monoids, all residually finite monoids, all finitely generated linear monoids, and all cancellative one-sided amenable monoids are ...
Tullio Ceccherini-Silberstein +1 more
openaire +7 more sources
Comultiplication on monoids [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 A comultiplication on a monoid S is a homomorphism m:S→S∗S (the free product of S with itself) whose composition with each projection is the identity homomorphism.
Martin Arkowitz, Mauricio Gutierrez
doaj +3 more sources
Ordered Monoids and J-Trivial Monoids [PDF]
, 2000 The aim of this paper is to give a new proof of the following result of Straubing and Thérien (which is also a consequence of a well-known result of I. Simon): Every J-trivial monoid is a quotient of an ordered monoid satisfying the identity x
Henckell, Karsten, Pin, Jean-Eric
+7 more sources
Logical Methods in Computer Science, 2023 We introduce monoidal width as a measure of complexity for morphisms in monoidal categories. Inspired by well-known structural width measures for graphs, like tree width and rank width, monoidal width is based on a notion of syntactic decomposition: a monoidal decomposition of a morphism is an expression in the language of monoidal categories, where ...
Elena Di Lavore, Paweł Sobociński
openaire +4 more sources
Counting monogenic monoids and inverse monoids
Communications in Algebra, 2023 9 pages (2 figures, 1 table, updated with number of improvement, to appear in Comm. Alg.)
L. Elliott, A. Levine, J. D. Mitchell
openaire +5 more sources
Journal of Algebra, 2004 A monoid \(M\) is said to be an extension of a submonoid \(T\) by a group \(G\) if there is a homomorphism \(\varphi\colon M\to G\) such that \(T=\varphi^{-1}(1)\). Given a monoid \(M\) and a submonoid \(T\), if there is a monoid \(\widehat M\) with a homomorphism \(\theta\colon\widehat M\to M\) such that \(\widehat M\) is an extension of a submonoid \(
Fountain, John +2 more
openaire +3 more sources
Monoidal Supercategories [PDF]
Communications in Mathematical Physics, 2017 42 pages, sign error in Definition 1.16 ...
Jonathan Brundan, Alexander P. Ellis
openaire +2 more sources
Transactions of the American Mathematical Society, 2023 Recently, Solecki [Forum Math. Sigma 7 (2019), p. 40] introduced the notion of Ramsey monoid to produce a common generalization to theorems such as Hindman’s theorem, Carlson’s theorem, and Gowers’ F I N k FIN_k theorem. He proved that an entire class of finite monoids is Ramsey. Here we
Agostini, Claudio, Colla, Eugenio
openaire +3 more sources
Communications in Algebra, 2016 Skew monoidal categories are monoidal categories with non-invertible `coherence' morphisms. As shown in a previous paper bialgebroids over a ring R can be characterized as the closed skew monoidal structures on the category Mod R in which the unit object is R. This offers a new approach to bialgebroids and Hopf algebroids.
openaire +4 more sources