A note on primeness in Near-rings and matrix near-rings

Bh Satyanarayana; M. B.V. Lokeswara Rao; K. Syam Prasad

A note on primeness in Near-rings and matrix near-rings

Bh Satyanarayana^*, M. B.V. Lokeswara Rao, K. Syam Prasad

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Strictly equiprime, jth row strictly equiprime concepts were introduced in Near-rings and obtained that (i) if N is a strictly equiprime near-ring then the matrix near-ring M_n(N) is the jth row strictly equiprime for 1 ≤ j ≤ n; (ii) if I is a prime left ideal of a near-ring N then the corresponding ideal I* is a prime left ideal in M_n(N).

Original language	English
Pages (from-to)	227-234
Number of pages	8
Journal	Indian Journal of Pure and Applied Mathematics
Volume	27
Issue number	3
Publication status	Published - 01-03-1996

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Cite this

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title = "A note on primeness in Near-rings and matrix near-rings",

abstract = "Strictly equiprime, jth row strictly equiprime concepts were introduced in Near-rings and obtained that (i) if N is a strictly equiprime near-ring then the matrix near-ring Mn(N) is the jth row strictly equiprime for 1 ≤ j ≤ n; (ii) if I is a prime left ideal of a near-ring N then the corresponding ideal I* is a prime left ideal in Mn(N).",

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AU - Satyanarayana, Bh

AU - Lokeswara Rao, M. B.V.

AU - Syam Prasad, K.

PY - 1996/3/1

Y1 - 1996/3/1

N2 - Strictly equiprime, jth row strictly equiprime concepts were introduced in Near-rings and obtained that (i) if N is a strictly equiprime near-ring then the matrix near-ring Mn(N) is the jth row strictly equiprime for 1 ≤ j ≤ n; (ii) if I is a prime left ideal of a near-ring N then the corresponding ideal I* is a prime left ideal in Mn(N).

AB - Strictly equiprime, jth row strictly equiprime concepts were introduced in Near-rings and obtained that (i) if N is a strictly equiprime near-ring then the matrix near-ring Mn(N) is the jth row strictly equiprime for 1 ≤ j ≤ n; (ii) if I is a prime left ideal of a near-ring N then the corresponding ideal I* is a prime left ideal in Mn(N).

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M3 - Article

AN - SCOPUS:0030088506

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JF - Indian Journal of Pure and Applied Mathematics

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ER -

A note on primeness in Near-rings and matrix near-rings

Abstract

All Science Journal Classification (ASJC) codes

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