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N-Semigroups and their translation semigroups

Published online by Cambridge University Press:  09 April 2009

Takayuki Tamura
Takayuki Tamura
Affiliation:
University of California, Davis, California, USA 95616
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Abstract

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If h is a homomorphism of an N-semigroup onto an N-semigroup S′, then h induces a homomorphism h of the translation semigroup Λ(S) of S into Λ(S′) of S′. We will study the relations between the structures of S, S′ and Λ(S), Λ(S)′, and will introduce the specialized concepts of N-semigroups S. In particular, we will be interested in power-joined steady or endless N-semigroups. Finally, we will consider admissibility of torsion abelian groups, that is, consider what torsion abelian group can be a structure group of a power-joined steady N-semigroup.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 2 , September 1977 , pp. 184 - 202
Copyright
Copyright © Australian Mathematical Society 1977

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