MONOIDS

作品数:21被引量:11H指数:2
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相关领域:自动化与计算机技术理学更多>>
相关作者:李方乔虎生李为民陈康武更多>>
相关机构:杭州大学西北师范大学上海交通大学华南师范大学更多>>
相关期刊:《Journal of Mathematical Research with Applications》《Algebra Colloquium》《Acta Mathematicae Applicatae Sinica》《Chinese Journal of Electronics》更多>>
相关基金:国家自然科学基金更多>>
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Varieties of Involution J-Trivial Monoids with Continuum Many Subvarieties
《Algebra Colloquium》2024年第3期467-480,共14页Meng Gao Wenting Zhang Yanfeng Luo 
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...
关键词:MONOID involution monoid VARIETY subvariety lattice of varieties 
A New Variant of Wilson's Functional Equation on Monoids
《Acta Mathematica Sinica,English Series》2022年第8期1303-1316,共14页Hajira DIMOU Elhoucien ELQORACHI Abdellatif CHAHBI 
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...
关键词:MONOID functional equation d'Alembert's equation involutive automorphism multiplicative function anti-automorphism 
On Characterization of Monoids by Properties of Generators
《Journal of Mathematical Research with Applications》2020年第4期367-380,共14页Morteza JAFARI Akbar GOLCHIN Hossein MOHAMMADZADEH SAANY 
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...
关键词:GENERATOR finitely generated Subannihilator congruence INJECTIVE 
Gauge Inverse Monoids
《Algebra Colloquium》2020年第2期181-192,共12页Emil Daniel Schwab 
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...
关键词:inverse semigroup gauge inverse monoid polycyclic monoid 
On Endomorphism Monoids of Finite Kleene Algebras
《Algebra Colloquium》2019年第3期507-518,共12页Jie Fang Zhongju Sun 
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...
关键词:ENDOMORPHISM MONOID BAND Kleene ALGEBRA 
New Properties over a New Type of Wreath Products on Monoids
《Advances in Pure Mathematics》2019年第8期629-636,共8页Suha Ahmed Wazzan 
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...
关键词:Wreath Product Green’s RELATIONS LEFT Cancellative MONOIDS ORTHODOX MONOIDS LEFT (Right) Inverse 
Weighted Automaton and Varieties of Formal Power Series
《Chinese Journal of Electronics》2017年第2期299-305,共7页WANG Yongbing LI Yongming 
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...
关键词:Formal power series Weighted automaton Regular series Quotient Syntactic monoids Variety theorem 
Globals of Completely Regular Monoids
《Communications in Mathematical Research》2015年第3期222-228,共7页Wu Qian-qian Gan Ai-ping Du Xian-kun 
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...
关键词:completely regular monoid irreducible element power semigorup 
(*, ~)-Good Congruences on Regular Ortho-lc-monoids被引量:3
《Algebra Colloquium》2014年第2期235-248,共14页Yuqi Guo Chunmei Gong Xiangzhi Kong 
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.
关键词:(* ~)-Green's relations regular ortho-lc-monoids (* ~)-good congruences semi-spined products 
Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories被引量:1
《Acta Mathematica Sinica,English Series》2014年第4期567-590,共24页Jos Nicanor ALONSO LVAREZ Ramón GONZLEZ RODRIGUEZ Carlos SONEIRA CALVO 
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...
关键词:Weak (braided) Hopf monoid Yetter-Drinfeld module CENTER 
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