Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India

Abstract

Let be an -semimodule and non-zero subsemimodule of . We say that is an essential subsemimodule of , if ∩ ≠ (0) for every nonzero subsemimodule of . In this paper we study some useful results on essential subsemimodules and singular semimodule of semiring