Results 61 to 70 of about 4,881 (233)
Oppenheim–Schur inequalities for causal products
Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
wiley +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
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
This paper gives a self-contained and complete proof of the isomorphism of freely generated monoids extracted from Temperley-Lieb algebras with monoids made of Kauffman's diagrams.
Borisavljević, Mirjana +2 more
openaire +2 more sources
Confluence of the Chinese Monoid [PDF]
The Chinese monoid, related to Knuth’s Plactic monoid, is of great interest in algebraic combinatorics. Both are ternary monoids, generated by relations between words of three symbols. The relations are, for a totally ordered alphabet, cba = cab = bca if
Klop, Jan Willem +5 more
core +2 more sources
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
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
We show that the Möbius transformations generate anF-inverse monoid whose maximum group image is the Möbius group.
Lawson, Mark V.
core +1 more source
Twisted ambidexterity in equivariant homotopy theory
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
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

