On Green.s relations, 20-regularity and quasi-ideals in .-semigroups

Authors
Hila, Kostaq Dine, Jani
Citation
Hila, Kostaq et Dine, Jani, On Green.s relations, 20-regularity and quasi-ideals in .-semigroups, Acta mathematica Sinica. English series (Print) , 29(3), 2013, pp. 609-624
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
3
Year of publication
2013
Pages
609 - 624
Database
ACNP
SICI code
Abstract
In this paper, we introduce the definition of (m, n)0-regularity in .-semigroups. We investigate and characterize the 20-regular class of .-semigroups using Green.s relations. Extending and generalizing the Croisot.s Theory of Decomposition for .-semigroups, we introduce and study the absorbent and regular absorbent .-semigroups. We approach this problem by examining quasi-ideals using Green.s relations.