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P(r,m) Near-Rings

Balakrishnan, R., and Suryanarayanan, S., (2000) P(r,m) Near-Rings. Bulletin of the Malaysian Mathematical Sciences Society, 23 (2). pp. 117-130. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v23n2/v23n2p3.pdf

Affiliations

V.O.C College, Dept. of Mathematics
St. John's College, Dept. of Mathematics

Abstract

In this paper we introduce the concept of $P(r, m)$ near-rings where $r$, $m$ are positive integers. Under certain conditions, we (i) obtain a complete characterization of such near-rings (ii) discuss their properties vis-a-vis subdirect irreducibility, semiprimeness etc. and (iii) obtain a structure theorem for such near-rings.

Item Type:Journal
Subjects:Q Science, Computer Science
ID Code:1314

1. J.R. Clay, The near-rings on groups of low order, Math. Z. 104 (1968), 364-371.

2. N.H. McCoy, The Theory of Rings, MacMillan & Co., 1970.

3. G. Pilz, Near-rings, North Holland/American Elsevier, Amsterdam, 1983.

4. S. Suryanarayanan and N. Ganesan, Stable and Pseudo stable near-rings, Indian J. Pure and Appl. Math 19(12) (December, 1988), 1206-1216.

5. S. Suryanarayanan, Near-rings with P_3-mate functions, Bull. Malaysian Math. Soc. (Second Series) 19 (1996), 17-24.

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