IJPAM: Volume 106, No. 4 (2016)

STRONGLY NILPOTENT RADICALS IN THE PROJECTIVE
PRODUCT OF GAMMA RINGS AND
THEIR INTRINSIC PROPERTIES

Ranu Paul
Department of Mathematics
Pandu College, Guwahati 781012
Assam State, INDIA


Abstract. The object of this paper is to study strongly nilpotent radical in the projective product of gamma rings and their deep properties. This also includes some profound results on semi-prime Gamma-ring/prime Gamma-ring/semi-simple Gamma-ring. It is also shown that if the projective product of two Gamma-rings is semi-simple then the component Gamma-rings are also semi-simple and the converse of this result is also investigated.

Received: September 25, 2015

AMS Subject Classification: 16N60, 16W25, 16U80

Key Words and Phrases: strongly nilpotent ideal/strongly nilpotent radical/projective product of Gamma-rings

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DOI: 10.12732/ijpam.v106i4.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 4
Pages: 1079 - 1086


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