Results 51 to 60 of about 6,864 (172)
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana +2 more
doaj +1 more source
On Endomorphisms of the Additive Monoid of Subnets of a Two-layer Neural Network
Previously, for each multilayer neural network of direct signal propagation (hereinafter, simply a neural network), finite commutative groupoids were introduced, which were called additive subnet groupoids.
Andrey Litavrin
doaj +1 more source
Localization sequences for logarithmic topological cyclic homology
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Unitary posets and amalgamations of pomonoids
In 1927, Schreier proved that amalgams of groups are always embeddable in the category of groups. However, this is not true in the category of semigroups, as shown by Kimura.
Al Subaiei, Bana
core +1 more source
On residually finite semigroups of cellullar automata [PDF]
We prove that if M is a monoid and A a finite set with more than one element, then the residual finiteness of M is equivalent to that of the monoid consisting of all cellular automata over M with alphabet A .
Tullio Ceccherini-Silberstein +1 more
doaj
On the positivity and integrality of coefficients of mirror maps
Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
wiley +1 more source
We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Futhermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units ofM is trivial, but M is ...
Cedó, Ferran
core
Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley +1 more source
Every group-embeddable monoid arises as the bimorphism monoid of some graph [PDF]
Generalizing results of Frucht and de Groot/Sabidussi, we demonstrate that every group-embeddable monoid is isomorphic to the bimorphism monoid of some graph.Mathematics Subject Classifications: 05C63, 20M30Keywords: Infinite graph theory, group ...
Dilley, Isaac K. +3 more
core +4 more sources
Syntomic cohomology and real topological cyclic homology
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source

