Graded multiplication modules and the graded ideal qg (M)
Let G be a group and let R be a G-graded commutative ring. For a graded R-module M, the notion of the associated graded ideal qg (M) of R is defined. It is proved that the graded ideal qg (M) is important in the study of graded multiplication modules. Among various application given, the following results are proved: if M is a graded faithful multiplication module, then qg (M) is an idempotent graded multiplication ideal of R such that qg (qg (M)) = qg (M), and every graded representable multiplication R-module is finitely generated.
Anahtar Kelimeler:
Graded multiplication modules, Graded ideal qg (M), Graded secondary modules
Graded multiplication modules and the graded ideal qg (M)
Let G be a group and let R be a G-graded commutative ring. For a graded R-module M, the notion of the associated graded ideal qg (M) of R is defined. It is proved that the graded ideal qg (M) is important in the study of graded multiplication modules. Among various application given, the following results are proved: if M is a graded faithful multiplication module, then qg (M) is an idempotent graded multiplication ideal of R such that qg (qg (M)) = qg (M), and every graded representable multiplication R-module is finitely generated.
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Generalized derivations on Lie ideals in prime rings
Blow-up time for a semilinear parabolic equation with variable reaction
Theodore Kouassi BONI, Remi Kouadio KOUAKOU
On the stability of basisness in Lp(1 < p < +\infty) of cosines and sines
A boundary value problem for Bitsadze equation in matrix form
Sezayi HIZLIYEL, Mehmet ÇAĞLIYAN
Null mannheim curves in the minkowski 3-space E13
Handan B. ÖZTEKİN and Mahmut ERGÜT, Handan B. Öztekin, Mahmut Ergül
Null Mannheim curves in the Minkowski 3-space $Bbb{E}^3 _1$
Mahmut ERGÜT, Handan B. ÖZTEKİN
On the stability of basisness in $L_p$ (1