When d-semiperfect rings are Semiperfect

11693

When d-semiperfect rings are semiperfect

Zhou defined d-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are d-supplemented. Module theoretic version of our results are obtained.
Anahtar Kelimeler:

Semiperfect, d-semiperfect, d-supplemented.

When d-semiperfect rings are semiperfect

Zhou defined d-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are d-supplemented. Module theoretic version of our results are obtained.
Keywords:

Semiperfect, d-semiperfect, d-supplemented.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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