Interior ideals in $Gamma $-semirings

R.D. Jagatap 1∗

doi:10.26637/MJM0604/0005

Interior ideals in $Gamma $-semirings

Authors :

R.D. Jagatap^1∗

Author Address :

¹ Department of Mathematics, Y.C.College of Science, Karad-415124, Maharashtra, India.

*Corresponding author.

Abstract :

The concepts of an interior ideal, minimal interior ideal and an interior-simple $Gamma $-semiring are defined. Various properties of an interior ideal and minimal interior ideal of a $Gamma $-semiring are studied. Some characterizations of a minimal interior ideal and an interior-simple $Gamma$-semiring are discussed.

Keywords :

Interior ideal, minimal interior ideal , interior-simple $Gamma $-semiring, regular $Gamma $-semiring, intra-regular $Gamma $-semiring.

DOI :

10.26637/MJM0604/0005

Article Info :

Received : July 24, 2018; Accepted : September 17, 2018.