Positive Semirings

Author

Mathematics Department of Shahid Chamran University

Abstract

In this article we investigate the positive semirings ( a semiring R is called positive if 1+x is unit for all x ε R). In fact, using the intersection of maximal ideals containing an element of a positive semiring, we give the concept of “z-ideal” in such semirings and investigate some properties of these ideals. Furthermore we study th e relations between topological properties of X and algebraic properties of positive semiring τ , where τ is the topology on X. Finally the familiar positive semiring C+(X) will be studied . Finally the familiar positive semiring C+(X) will be studied

Keywords


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