Results 31 to 40 of about 259 (129)
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
Varieties characterized by their endomorphisms [PDF]
, 2014 We show that two varietes X and Y with isomorphic endomorphism semigroups are isomorphic up to field automorphism if one of them is affine and contains a copy of the affine line.
Kraft, Hanspeter, Andrist, Rafael B.
core
Automorphisms of partial endomorphism semigroups
, 2011 In this paper we propose a general recipe for calculating the automorphism groups of semigroups consisting of partial endomorphisms of relational structures with a single m-ary relation for any m 2 N over a finite set. We use this recipe to determine the
Jesus, Manuel M. +10 more
core +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
Generating transformation semigroups using endomorphisms of preorders, graphs, and tolerances
, 2010 Let ΩΩ be the semigroup of all mappings of a countably infinite set Ω. If U and V are subsemigroups of ΩΩ, then we write U≈V if there exists a finite subset F of ΩΩ such that the subsemigroup generated by U and F equals that generated by V and F.
Morayne, Michal +3 more
core +2 more sources
A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Automorphisms of the endomorphism semigroup of a polynomial algebra
Journal of Algebra, 2011 The authors describe the automorphism group of the endomorphism semigroup \(\text{End\,}K[x_1,\dots,x_n]\) of the ring \(K[x_i]\) of polynomials over an arbitrary field \(K\). A similar result is obtained for the automorphism groups of finitely generated free commutative algebras of the variety \(CA\) of commutative algebras.
Belov-Kanel, A., Lipyanski, R.
openaire +2 more sources
Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley +1 more source
An index theory for quantum dynamical semigroups [PDF]
, 1996 W. Arveson showed a way of associating continuous tensor product systems of Hilbert spaces with endomorphism semigroups of type I factors. We do the same for general quantum dynamical semigroups through a dilation procedure.
Rajarama Bhat, B. V.
core +1 more source
Weak ω‐Approximate Biprojectivity of Banach Algebras
Journal of Mathematics, Volume 2025, Issue 1, 2025.For a given Banach algebra M and a continuous endomorphism ω on M, we define weakly ω‐approximately biprojective and weakly ω‐approximately Helemskii biflat Banach algebras. We then examine the relationship between them and express the correlation between them and ω‐pseudoamenability.
Zahra Ghorbani, Elena Guardo
wiley +1 more source