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MONOID: 作品数：56被引量：18H指数：2; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：李为民阴东升李方周春来杨明媚更多>>; 相关机构：上海交通大学北京工业大学杭州大学长春师范学院更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Algebra Colloquium》《广西大学学报（自然科学版）》更多>>; 相关基金：国家自然科学基金上海市自然科学基金北京市自然科学基金美国国家科学基金更多>>

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

Strongly Clean Matrix Rings over a Skew Monoid Ring: 《Algebra Colloquium》2023年第3期361-370,共10页Arezou Karimimansoub Mohammad-Reza(Rafsanjani)Sadeghi; Let R be a ring with an endomorphismσ,F∪{0}the free monoid generated by U={u1,…,ut}with 0 added,and M a factor of F obtained by setting certain monomials in F to 0 such that M^(n)=0 for some n.Then we can form the ...; 关键词：skew monoid rings strongly clean rings matrix rings

The Hochschild Cohomology of the Chinese Monoid Algebra: 《Algebra Colloquium》2022年第4期619-632,共14页Hassan Alhussein; In this work we find the groups of Hochschild cohomologies for the Chinese monoid algebra and derive its Hilbert and Poincaréseries.In order to obtain this result we construct the Anick resolution via the algebraic d...; 关键词：Hochschild cohomology Anick resolution Grobner-Shirshov basis Morse matching

Normalization of Indexed Differentials by Extending Grobner Basis Theory: 《Journal of Systems Science & Complexity》2022年第5期2016-2028,共13页LIU Jiang NI Feng SONG Shihang DU Mingjun; supported by the National Natural Science Foundation of China under Grant No.11701370。; It is a fundamental problem to determine the equivalence of indexed differential polynomials in both computer algebra and differential geometry.However,in the literature,there are no general computational theories for...; 关键词：Canonical form Einstein summation convention free commutative monoid ring Grobner basis indexed differential polynomial

Quaternion Integers Based Higher Length Cyclic Codes and Their Decoding Algorithm被引量：1: 《Computers, Materials & Continua》2022年第10期1177-1194,共18页Muhammad Sajjad Tariq Shah Mohammad Mazyad Hazzazi Adel R.Alharbi Iqtadar Hussain; The authors extend their gratitude to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under grant number R.G.P.1/85/42.; The decoding algorithm for the correction of errors of arbitrary Mannheim weight has discussed for Lattice constellations and codes from quadratic number fields.Following these lines,the decoding algorithms for the co...; 关键词：Mannheim distance monoid ring cyclic codes parity check matrix extension syndromes decoding code rate and error correction capability

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

Duo Property on the Monoid of Regular Elements: 《Algebra Colloquium》2022年第2期203-216,共14页Chan Yong Hong Hong Kee Kim Nam Kyun Kim Tai Keun Kwak Yang Lee; We study the right duo property on regular elements,and we say that rings with this property are right DR.It is first shown that the right duo property is preserved by right quotient rings when the given rings are rig...; 关键词：right DR ring right duo ring quotient ring (skew)polynomial ring group ring

Non-commutative Arithmetics on Thompson's Monoid: 《Acta Mathematica Sinica,English Series》2021年第10期1586-1626,共41页Bo Qing; Supported by National Natural Science Foundation of China(Grant No.11701549)。; The main purpose of this paper is to define prime and introduce non-commutative arithmetics based on Thompson's group F.Defining primes in a non-abelian monoid is highly non-trivial,which relies on a concept called"ca...; 关键词：Thompson's group non-commutative arithmetics castling COMPLEXITY divisor function M?bius function

An Extension of Grobner Basis Theory to Indexed Polynomials Without Eliminations: 《Journal of Systems Science & Complexity》2020年第5期1708-1718,共11页LIU Jiang; supported by the National Natural Science Foundation of China under Grant No.11701370。; In computer algebra,it remains to be challenging to establish general computational theories for determining the equivalence of indexed polynomials.In previous work,the author solved the equivalence determination prob...; 关键词：Canonical form Einstein summation convention free commutative monoid ring Grobner basis

Some Factorization Properties in A+B[Г^(*)]Domains: 《Algebra Colloquium》2020年第3期643-650,共8页E.Boulayat S.El Baghdadi; Let A■B be an extension of integral domains andГa commutative,additive,cancellative,torsion-free monoid with T∩-Г={0}.Let B[Г]be the semigroup ring ofГover B and setГ^(*)=Г\{0}.Then R=A+B[Г^(*)]is a subring o...; 关键词：MONOID FACTORIZATION ATOMIC ACCP BFD

MONOID