IJPAM: Volume 37, No. 4 (2007)
SEMIDIRECT PRODUCTS AND WREATH PRODUCTS
ON LEFT AND RIGHT CLIFFORD EVENTUALLY
REGULAR SEMIGROUPS
ON LEFT AND RIGHT CLIFFORD EVENTUALLY
REGULAR SEMIGROUPS
Xiao-Min Zhang
Department of Mathematics
Linyi Normal University
Linyi, Shandong, 276005, P.R. CHINA
e-mail: [email protected]
Department of Mathematics
Linyi Normal University
Linyi, Shandong, 276005, P.R. CHINA
e-mail: [email protected]
Abstract.We introduce
the concept of eventually regular semigroups 
with the property
or
for all idempotents 
that include all left and right Clifford
eventually regular semigroups. Necessary and sufficient conditions of the semidirect products and wreath products of such
semigroups are given.
Received: February 27, 2007
AMS Subject Classification: 20M10
Key Words and Phrases: left and right Clifford eventually regular semigroups, semidirect product, wreath product
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 4
