On $\alpha$-prime ideals in the ternary semiring of non-positive integers

Document Type : Research Paper

Authors

1 Department of‎ ‎Mathematics‎, ‎M‎. ‎J‎. ‎College‎, ‎Jalgaon-425002 (M.S.)‎, ‎India

2 Department of‎ ‎Mathematics‎, ‎R‎. ‎K‎. ‎T‎. ‎College‎, ‎Ulhasnagar-421003 (M.S.)‎, ‎India

Abstract

In this paper‎, ‎we introduce the concept of $\alpha$-prime ideals in a commutative ternary semiring with identity element and obtain the characterizations of $\alpha$-prime ideals in the ternary semiring of non-positive integers.

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