(m), (n)型代数系统关系超替换半群正则元上的格林关系

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2021-04-07 DOI:10.5556/J.TKJM.53.2022.3436
S. Leeratanavalee, Jukkrit Daengsaen
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引用次数: 0

摘要

类型为(τ, τ′)= ((mi)i∈i, (nj)j∈j)的代数系统的任何关系超替换是一个映射,它将任意任意运算符号映射到任意任意运算项,并将任意任意关系符号映射到任意任意关系项,其中i, j是索引集。Phusanga和Koppitz[13]在2018年首次研究了一类特殊类型代数系统的所有关系超取代的拟群的一些代数性质,特别是其阶的表征和所有正则元的集合。本文研究了一类特殊类型(τ, τ′)= (m), (n))的单群正则部分上的格林关系,其中n≥2。
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Green’s Relations on Regular Elements of Semigroup of Relational Hypersubstitutions for Algebraic Systems of Type ((m), (n))
Any relational hypersubstitution for algebraic systems of type (τ, τ ′) = ((mi)i∈I , (nj)j∈J) is a mapping which maps anymi-ary operation symbol to anmi-ary term and maps any njary relational symbol to an nj-ary relational term preserving arities, where I, J are indexed sets. Some algebraic properties of themonoid of all relational hypersubstitutions for algebraic systems of a special type, especially the characterization of its order and the set of all regular elements, were first studied by Phusanga and Koppitz[13] in 2018. In this paper, we study the Green’s relations on the regular part of this monoid of a particular type (τ, τ ′) = ((m), (n)), wherem,n ≥ 2.
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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