计算机工程与应用2019，Vol.55Issue(1)：42-46,5.DOI:10.3778/j.issn.1002-8331.1801-0193
一类有限半格的自同态半环
Endomorphism Semiring of Finite Semilattice
摘要
Abstract
This paper studies the properties of the endomorphism semiring over the direct product of two finite chains. Using two binary operations on the direct product of two finite chains, a sufficient and necessary condition under which the subset of the direct product of two finite chains is the codomain of the endomorphism is given. Next, it proves that the multiplicative reduct of the endomorphism semiring is a regular semigroup. Finally, by decomposing the endomorphism of the direct product of two finite chains, it obtains that the endomorphism semiring can be generated by the idempotents of its multiplicative reduct. Some known results about the endomorphism semigroup over a finite chain are expanded.关键词
自同态半环/正则半群/幂等元Key words
endomorphism semiring/regular semigroup/idempotent分类
数理科学引用本文复制引用
韩金,邵勇..一类有限半格的自同态半环[J].计算机工程与应用,2019,55(1):42-46,5.基金项目
国家自然科学基金(No.11571278) （No.11571278）
陕西省自然科学基金(No.2015JQ1020). （No.2015JQ1020）
