IJPAM: Volume 72, No. 1 (2011)
ABUNDANT SEMIGROUPS WITH
QUASI-MEDIAL IDEMPOTENTS
QUASI-MEDIAL IDEMPOTENTS
Xiangfei Ni
Department of Mathematics
Zhejiang Normal University
Jinhua, Zhejiang, 321004, P.R. CHINA
Department of Mathematics
Zhejiang Normal University
Jinhua, Zhejiang, 321004, P.R. CHINA
Abstract. In this paper, the concept of a medial idempotent is generalized, called a quasi-medial idempotent. After that, some properties about an abundant semigroup with a quasi-medial idempotent is studied. In particular, a structure theorem for an abundant semigroup with a quasi-medial idempotent is given and some special cases are considered.
Received: August 3, 2011
AMS Subject Classification: 20M10
Key Words and Phrases: abundant semigroup, quasi-medial idempotent, weak medial idempotent, medial idempotent
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 72
Issue: 1