Weak-projective dimensions
In this paper, the notions of weak-projective modules and weak-projective dimension over commutative domain R are given. It is shown that over semisimple rings with weak global dimension 1, these modules are equivalent to weak-injective modules. The weak-projective dimension measures how far away a domain is from being a Prüfer domain. Several properties of these modules are also presented.
Anahtar Kelimeler:
Semi-Dedekind domain; Weak-injective modules; Weak- projective dimension, projective modules; Prüfer domain
Weak-projective dimensions
In this paper, the notions of weak-projective modules and weak-projective dimension over commutative domain R are given. It is shown that over semisimple rings with weak global dimension 1, these modules are equivalent to weak-injective modules. The weak-projective dimension measures how far away a domain is from being a Prüfer domain. Several properties of these modules are also presented.
Keywords:
Semi-Dedekind domain; Weak-injective modules; Weak- projective dimension, projective modules; Prüfer domain,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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