Results 121 to 130 of about 31,145 (240)

The number of unary clones containing the permutations on an infinite set [PDF]

, 2005
We calculate the number of unary clones (submonoids of the full transformation monoid) containing the permutations, on an infinite base set. It turns out that this number is quite large, on some cardinals as large as the whole clone lattice.
Pinsker, Michael
core  

Growth problems in diagram categories

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

On the set of Set(n)'s [PDF]

Notes on Number Theory and Discrete Mathematics
The set of Set(n)'s for natural numbers n is constructed. For this set it is proved that it is a commutative semi-group. The conditions for which it is a monoid are given.
Krassimir T. Atanassov
doaj   +1 more source

On Endomorphism Universality of Sparse Graph Classes

Journal of Graph Theory, Volume 110, Issue 2, Page 223-244, October 2025.
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

On cofree S-spaces and cofree S-flows

Applied General Topology, 2012
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj   +1 more source

On Almost Everywhere K-Additive Set-Valued Maps

Annales Mathematicae Silesianae
Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
doaj   +1 more source

The join of split graphs whose completely regular endomorphisms form a monoid

Open Mathematics, 2017
In this paper, completely regular endomorphisms of the join of split graphs are investigated. We give conditions under which all completely regular endomorphisms of the join of two split graphs form a monoid.
Hou Hailong, Song Yanhua, Gu Rui
doaj   +1 more source

Endomorphism monoids of acts over monoids

Semigroup Forum, 1973
In this paper we investigate under which conditions a monoid R is defined by the endomorphism monoid of an act over R. More precisely, we ask when an isomorphism between two such endomorphism monoids over monoids R1 and R2 is induced by a semilinear isomorphism. The question is considered also for ordered and for topological monoids.
Knauer, U., Mikhalev, A.V.
openaire   +1 more source

A Variant of Jensen’s Functional Equation on Semigroups

Demonstratio Mathematica, 2016
We determine the solutions f : S → H of the following functional ...
Fadli Brahim, Zeglami Driss, Kabbaj Samir   +2 more
doaj   +1 more source

Factorizable inverse monoids [PDF]

Semigroup Forum, 2009
An inverse monoid \(S\) is called `factorizable' provided that it decomposes into a product \(UE\) of its group \(U\) of units and its semi-lattice \(E\) of idempotents. The paper under review is a survey of the algebraic theory of factorizable inverse monoids. The paper starts with a short historical overview. This goes over to the structure theory of
openaire   +2 more sources