Muhittin BAŞER, Nazim AGAYEV

2519

On Reduced and Semicommutative Modules

In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, MR is semicommutative if and only if MR is reduced. (2) If MR is a p.p.-module then MR is nonsingular.
Anahtar Kelimeler:

Reduced Rings (Modules), Baer, quasi-Baer and Rings (Modules)

On Reduced and Semicommutative Modules

In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, MR is semicommutative if and only if MR is reduced. (2) If MR is a p.p.-module then MR is nonsingular.
Keywords:

Reduced Rings (Modules), Baer, quasi-Baer and Rings (Modules),

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