supported by the National Natural Science Foundation of China(Nos.12271224,12171213,11771191);the Fundamental Research Funds for the Central Universities(No.lzujbky-2023-ey06);the Natural Science Foundation of Gansu Province(No.20JR5RA275).
In this paper,we give a suficient condition under which an involution monoid generates a variety with continuum many subvarieties.According to this result,several involution J-trivial monoids are shown to generate var...
Supported by the National Science Foundation of China(Grant Nos.12061059 and 61763041)。
We find on a monoid M the complex-valued solutions f,g:M→C such that f is central and g is continuous of the functional equation f(xσ(y))+f(τ(y)x)=2f(x)g(y),x,y∈M,whereσ:M→M is an involutive automorphism andτ:M...
Kilp and Knauer in(Comm.Algebra,1992,20(7),1841-1856)gave characterizations of monoids when all generators in category of right S-acts(S is a monoid)satisfy properties such as freeness,projectivity,strong flatness,Con...
The paper introduces a class of inverse(sub)monoids which contains Jones-Lawson’s gauge inverse(sub)monoid.The aim is to give examples and the basic properties of these monoids.Jones-Lawson’s gauge inverse monoid,as...
An endomorphism monoid of an algebra A.is said to be a band if every endomorphism on A is an idempotent,and it is said to be a demi-band if every noninject ive endomorphism on A is an idempotent.We precisely determine...
In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and re...
supported by the National Natural Science Foundation of China(No.11271237,No.11301316,No.11301321)
We introduce the concepts of syntactic monoids of formal power series through syntactic congruences on a free monoid,and we study recognition of formal power series by monoids,as well as the basic properties of syntac...
The NSF(11261021) of China;the NSF(20142BAB201002) of Jiangxi Province
An element of a semigroup S is called irreducible if it cannot be expressedas a product of two elements in S both distinct from itself. In this paper we showthat the class C of all completely regular monoids with irre...
The research was supported by the NSF (10871161, 11101336, 11371177, 11226044) of China, the Natural Science Foundation Project of CQ CSTC (2009BB2291), and the Talents Technology Fund of Xi'an University of Architecture and Technology (Grant No. RC1110).
The aim of this paper is to characterize the (*, ~)-good congruences on regular ortho-lc-monoids by making use of the compatible congruence systems on the semi-spined product components of regular ortho-lc-monoids.
Supported by Ministerio de Ciencia e Innovación,project MTM2010-15634;Supported by FEDER
In this paper, we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter-Drinfeld modules over a weak braided Hopf monoid. We apply the gener...