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2011•Unpublished venueRequires access

On Noetherian Regular δ-Near Rings and their Extensions

N. V. Nagendram, Tanuj Kumar, Y. Venkateswara Reddy

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Abstract

A commutative ring N is said to be a Noetherian Regular δ-Near Ring if every prime ideal of N is strongly prime. We say that a commutative Noetherian Near Ring N is Noetherian Regular Near Ring is a Noetherian Regular δ-Near Ring if assasinator of every right ideal (i.e., a right N-module) is strongly Prime Ideal. In this paper we obtained some fundamental results related to Noetherian Regular δ-Near Ring and semi-Noetherian Regular δ- Near Rings. Mathematics Subject Classification: 16A30

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What this paper is about

A commutative ring N is said to be a Noetherian Regular δ-Near Ring if every prime ideal of N is strongly prime. We say that a commutative Noetherian Near Ring N is Noetherian Regular Near Ring is a Noetherian Regular δ-Near Ring if assasinator of every right ideal (i.e., a right N-module) is strongly Prime Ideal. In this paper we obtained some fundamental results related to Noetherian Regular δ-Near Ring and semi-Noetherian Regular δ- Near Rings. Mathematics Subject Classification: 16A30

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Available abstract

A commutative ring N is said to be a Noetherian Regular δ-Near Ring if every prime ideal of N is strongly prime. We say that a commutative Noetherian Near Ring N is Noetherian Regular Near Ring is a Noetherian Regular δ-Near Ring if assasinator of every right ideal (i.e., a right N-module) is strongly Prime Ideal. In this paper we obtained some fundamental results related to Noetherian Regular δ-Near Ring and semi-Noetherian Regular δ- Near Rings. Mathematics Subject Classification: 16A30

Key concepts: Radical of a ring, Mathematics, Noetherian ring, Noetherian, Ideal (ethics), Associated prime, Principal ideal ring, Primary ideal

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