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Semiperfect rings and Nakayama permutations

Published online by Cambridge University Press:  25 July 2002

Dinesh Khurana
Dinesh Khurana
Affiliation:
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014, India e-mail: [email protected]
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Abstract

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We study the conditions which force a semiperfect ring to admit a Nakayama permutation of its basic idempotents. We also give a few necessary and sufficient conditions for a semiperfect ring R, which cogenerates every 2-generated right R-module, to be right pseudo-Frobenius.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 301 - 309
Copyright
2002 Glasgow Mathematical Journal Trust