IJPAM: Volume 49, No. 1 (2008)

A NOTE ON $(m,n)$-QUASI-IDEALS IN SEMIRINGS

Ronnason Chinram
Department of Mathematics
Faculty of Science
Prince of Songkla University
Hat Yai, Songkhla, 90112, THAILAND
e-mail: ronnason.c@psu.ac.th


Abstract.The notion of quasi-ideals for semirings was introduced by K. Iseki. In this paper, we study $(m,n)$-quasi-ideals of semirings. We generalize some facts of left ideals, right ideals and quasi-ideals of semirings.

Received: July 30, 2008

AMS Subject Classification: 16Y60, 16D25

Key Words and Phrases: quasi-ideals, $(m,n)$-quasi-ideals, $m$-left ideals, $n$-right ideals

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 1