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Title

A structure theorem for right pp-semigroups with left central idempotents

Authors 1, 1

Affiliations

  1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Abstract

The concept of strong spined product of semigroups is introduced. We first show that a semigroup S is a rpp-semigroup with left central idempotents if and only if S is a strong semilattice of left cancellative right stripes. Then, we show that such kind of semigroups can be described by the strong spined product of a C-rpp-semigroup and a right normal band. In particular, we show that a semigroup is a rpp-semigroup with left central idempotents if and only if it is a right bin.

Keywords

ENG
right pp-semigroups, right zero bands, strong spined products

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2000/20/1
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Pages:
63-75
Main language of publication
English
Received
1998-08-29
Accepted
1998-02-25
Published
2000

DOI: 10.7151/dmgaa.1006

Exact and natural sciences