Publication date
June 2018
DOI Publisher
Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora ISSN
1509-9415 Journal
Discussiones Mathematicae - General Algebra and Applications Citation count (estimate)
3Abstract
In this paper, we introduce the notion of k-ideal, m−k ideal, prime ideal, maximal ideal, filter, irreducible ideal, strongly irreducible ideal in ordered Γ-semirings, study the properties of ideals in ordered Γ-semirings and the relations between them. We characterize m − k ideals using derivation of ordered Γ-semirings and prove that every ideal in a mono regular ordered Γ-semiring is a prime ideal and field ordered Γ-semiring is simple
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