Results 71 to 80 of about 34,808 (248)
On Endomorphism Universality of Sparse Graph Classes
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley +1 more source
Power monoids and finiteJ-trivial monoids
A variety of finite monoids is a class of finite monoids closed under taking submonoids, quotients and \textit{finite} direct products. If M is a monoid, let \(P_ 1(M)\) denote the monoid of all subsets of M containing 1. If V is a variety, \(P_ 1V\) denotes the variety generated by the monoids \(P_ 1(M)\), \(M\in V\). Let J denote the variety of all J-
Pin, J.E., Margolis, S.
openaire +3 more sources
The generalizations of fuzzy monoids and vague monoids
Abstract In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a t-norm or a t-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids. Firstly, the classification of fuzzy sets based on some special aggregation operators is discussed.
Wei Li +3 more
openaire +2 more sources
Pathological computations of Mackey functor‐valued Tor over cyclic groups
Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle +2 more
wiley +1 more source
We investigate the notion of soficity for monoids. A group is sofic as a group if and only if it is sofic as a monoid. All finite monoids, all commutative monoids, all free monoids, all cancellative one-sided amenable monoids, all multiplicative monoids of matrices over a field, and all monoids obtained by adjoining an identity element to a semigroup ...
Tullio Ceccherini-Silberstein +1 more
openaire +4 more sources
The Hopf monoid on nonnesting supercharacters of pattern groups
We construct supercharacter theories for a collection of unipotent matrix groups and produce a Hopf monoid from the supercharacters. These supercharacter theories are coarser than those defined by Diaconis--Isaacs for algebra groups and have ...
Andrews, Scott
core +1 more source
Motivic p$p$‐adic tame cohomology
Abstract We construct a comparison functor between (A1$\mathbf {A}^1$‐local) tame motives and (□¯${\overline{\square }}$‐local) log‐étale motives over a field k$k$ of positive characteristic. This generalizes Binda–Park–Østvær's comparison for the Nisnevich topology.
Alberto Merici
wiley +1 more source
The authors bring here under a common title the results of three distinct papers [1], [2], [3] originated recently in the seminar of combinatorial algebra at the Charles University in Prague. The problem we are interested in is to reconstruct uniquely a monoid from a fragment of its multiplication table and in this way to obtain an economical ...
Goralcik, P., Hedrlin, Z., Münzova, M.
openaire +2 more sources
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces
The set of homology cobordisms from a surface to itself with markings of their boundaries has a natural monoid structure. To investigate the structure of this monoid, we define and study its Magnus representation and Reidemeister torsion invariants by ...
Birman +11 more
core +1 more source

