Complete Rewriting Systems For Codified Submonoids

Complete Rewriting Systems For Codified Submonoids
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编码子单元的完整重写系统

DOI:
10.1142/s0218196705002220
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发表时间:
2005
期刊:
Int. J. Algebra Comput.
影响因子:
--
通讯作者:
António Malheiro
António Malheiro
中科院分区:
--
文献类型:
--
作者:
António Malheiro

文献摘要

被引文献

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给定X上的一个完全重写系统R和X+的一个子集X0满足一定条件,我们给出了由X0生成的M(X;R)的子么半群的一个完全重写系统。所得结果将应用于满足h1=d1的么半群的单位群。另一方面,我们证明了由特殊重写系定义的么半群的所有极大子群是同构的。
Given a complete rewriting system R on X and a subset X0 of X+ satisfying certain conditions, we present a complete rewriting system for the submonoid of M(X;R) generated by X0. The obtained result will be applied to the group of units of a monoid satisfying H1 = D1. On the other hand we prove that all maximal subgroups of a monoid defined by a special rewriting system are isomorphic.