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Volume 32 • Number 2 • 2009
 
• On Weakly π-Subcommutative near-Rings
P. Nandakumar
Abstract. In this paper we introduce the concept of weakly π-subcommutative near-rings. We give some characterization of weakly π-subcommutative near-rings. We obtain necessary and sufficient conditions for a near-ring to be π- regular. We have found conditions under which √K is a two-sided N-subgroup, when K is a two-sided N-subgroup. Conditions are obtained for a weakly π-subcommutative near-ring to be subcommutative.

2000 Mathematics Subject Classification: 16Y30.


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