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On Strongly Prime Semiring

Tapan Kumar Dutta, Mousami Das

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Abstract

Abstract. In this paper we introduce the notions of strongly prime ideal in a semiring and strongly prime semiring and study some of its properties. Also we characterize strongly prime radical by using the notion of super sp-system. 2000 Mathematics Subject Classification: 16Y30, 16Y60 Key words and phrases: Right strongly prime semiring, Right strongly prime

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Abstract. In this paper we introduce the notions of strongly prime ideal in a semiring and strongly prime semiring and study some of its properties. Also we characterize strongly prime radical by using the notion of super sp-system. 2000 Mathematics Subject Classification: 16Y30, 16Y60 Key words and phrases: Right strongly prime semiring, Right strongly prime

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Available abstract

Abstract. In this paper we introduce the notions of strongly prime ideal in a semiring and strongly prime semiring and study some of its properties. Also we characterize strongly prime radical by using the notion of super sp-system. 2000 Mathematics Subject Classification: 16Y30, 16Y60 Key words and phrases: Right strongly prime semiring, Right strongly prime

Key concepts: Semiring, Prime (order theory), Ideal (ethics), Mathematics, Discrete mathematics, Prime ideal, Prime element, Combinatorics

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