AKTET - Journal of Institute Alb-Shkenca
AKTET, Volume 4, Issue 3, Matematike, Statistike, 2011
| Title: | ON REGULAR TERNARY SEMIHYPERGROUPS |
| Titulli shqip: | MBI GJYSMEHIPERGRUPET E RREGULLT TERNAR |
| Abstract: | This paper deals with a class of algebraic hypersystems which represent a generalization of semigroups and hypersemigroups. This class of of hypersystems is called ternary semihypergroups. The notion of regularity of different type of algebraic systems has been introduced and characterized by different authors such as Neumann, Iseki, Kovacs, Lajos etc. Different authors have studied the notion of regularity in ternary algebraic systems. In this paper we generalize this notion in ternary semihypergroups and we study some interesting properties of regular ternary semihypergroups, completely regular ternary semihypergroups, intra-regular ternary semihypergroups and characterize them by using various hyperideals of ternary semihypergroups. |
| Abstrakti: | Ky artikull merret me nje klase te hipersistemeve algjebrike e cila paraqet nje pergjithesim te gjysmegrupeve dhe gjysmehipergrupeve. Kjo klase e hipersitemeve algjebrike Kjo klase e hipersistemeve quhet gjysmehipergrupet ternare. Koncepti i rregullsise se tipeve te ndryshme te sistemeve algjebrike eshte prezantuar, studiuar dhe karakterizuar nga autore te ndryshem si p.sh. Neumann, Iseki, Kovacs, Lajos etj. Autore te ndryshem kane studiuar konceptin e rregullsise ne sistemet ternare algjebrike. Ne kete artikull ne pergjithesojme kete koncept ne gjysmehipergrupet ternare dhe studiojme disa veti interesante te gjysmehipergrupeve ternare te rregullt, te gjysmehipergrupeve ternare plotesisht te rregullt, te gjysmehipergrupeve ternare intra te rregullt dhe i karakterizojme ata duke perdorur hiperideale te ndryshem te gjysmehipergrupeve ternare. |
| Key words: | ternary semihypergroup, hyperideal, completely-regular, intra-regular, regular, completely-semiprime |
| Fjalë kyçe: | gjysmehipergrup ternar, hiperideal, plotesisht-i-rregullt, intra-i-regullt, rregullt, plotesisht-semiprim |
| Corresponding author: | KOSTAQ HILA (kostaq_hila@yahoo.com) |
| Authors: | KOSTAQ HILA, UNIVERSITY OF GJIROKASTRA, Gjirokastër, Albania KRISANTHI NAKA, UNIVERSITY OF GJIROKASTRA, Gjirokastër, Albania |
| Full text: | Download Issue 3 [PDF] |