Complete rewriting systems for codified submonoids

António José Mesquita da Cunha Machado Malheiro

doi:10.1142/S0218196705002220

Complete rewriting systems for codified submonoids

António José Mesquita da Cunha Machado Malheiro

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Given a complete rewriting system R on X and a subset X_0 of X^+ satisfying certain conditions, we present a complete rewriting system for the submonoid of M(X;R) generated by X_0. The obtained result will be applied to the group of units of a monoid satisfying H_1 = D_1. On the other hand we prove that all maximal subgroups of a monoid defined by a special rewriting system are isomorphic.

Original language	English
Pages (from-to)	207-216
Number of pages	10
Journal	International Journal Of Algebra And Computation
Volume	15
Issue number	2
DOIs	https://doi.org/10.1142/S0218196705002220
Publication status	Published - Apr 2005

Keywords

Special rewriting system
Submonoid
Complete rewriting system
Maximal subgroup
Monoid

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10.1142/S0218196705002220

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KW - Maximal subgroup

KW - Monoid

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Complete rewriting systems for codified submonoids

Abstract

Keywords

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