IJPAM: Volume 93, No. 4 (2014)
SOME REGULAR ELEMENTS, IDEMPOTENTS AND RIGHT
UNITS OF COMPLETE SEMIGROUPS OF BINARY
RELATIONS DEFINED BY SEMILATTICES OF
THE CLASS LOWER INCOMPLETE NETS
UNITS OF COMPLETE SEMIGROUPS OF BINARY
RELATIONS DEFINED BY SEMILATTICES OF
THE CLASS LOWER INCOMPLETE NETS
Yasha Diasamidze
, Ali Erdogan
, Neşet Aydın
Sh. Rustaveli State University
Batumi, GEORGIA
Department of Mathematics
Hacettepe University
Beytepe, Ankara, TURKEY
Department of Mathematics
Faculty of Arts and Sciences
Çanakkale Onsekiz Mart University
Çanakkale, TURKEY




Batumi, GEORGIA

Hacettepe University
Beytepe, Ankara, TURKEY

Faculty of Arts and Sciences
Çanakkale Onsekiz Mart University
Çanakkale, TURKEY
Abstract. In this paper, we investigate such a regular elements and idempotents
of the complete semigroup of binary relations
defined by
semilattices of the class lower incomplete nets, for which
.
Also we investigate right units of the semigroup . For the case
where
is a finite set we derive formulas by means of which we can
calculate the numbers of regular elements, idempotents and right units of the
respective semigroup.
Received: January 30, 2014
AMS Subject Classification: 20M30, 20M10, 20M15
Key Words and Phrases: semigroups, binary relation, regular element, idempotents, right units
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DOI: 10.12732/ijpam.v93i4.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 4
Pages: 549 - 566
