A note on an Abel-Grassmann's 3-band
Close
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
919 14
Ultima descărcare din IBN:
2024-01-02 14:49
SM ISO690:2012
MUSHTAQ, Qaiser, KHAN, Madad. A note on an Abel-Grassmann's 3-band . In: Quasigroups and Related Systems, 2007, vol. 15, nr. 2(18), pp. 295-301. ISSN 1561-2848.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Quasigroups and Related Systems
Volumul 15, Numărul 2(18) / 2007 / ISSN 1561-2848

A note on an Abel-Grassmann's 3-band

Pag. 295-301

Mushtaq Qaiser, Khan Madad
 
 
 
Disponibil în IBN: 14 decembrie 2013


Rezumat

An Abel-Grassmann's groupoid is discussed in several papers. In this paper we have investigated AG-3-band and ideal theory on it. An AG-3-band S has associative powers and is fully idempotent. A subset of an AG-3-band is a left ideal if and only it is right and every ideal of S is prime if and only if the set of all ideals of S is totally ordered under inclusion. An ideal of S is prime if and only if it is strongly irreducible. The set of ideals of S is a semilattice.

Cuvinte-cheie
LA-semigroup, AG-3-band, invertive law, medial law, paramedial and prime ideals