On Graded Secondary Modules

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Let G be a group with identity e, and let R be a G-graded commutative ring. Here we study the graded primary submodules of a G-graded R-module and examine when graded submodules of a graded representable module are graded representable. A number of results concerning of these class of submodules are given.

Anahtar Kelimeler:

Graded secondary modules, Graded primary submodules

On Graded Secondary Modules

Keywords:

Graded secondary modules, Graded primary submodules,

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[1] Ebrahimi Atani, S.: On graded weakly prime ideals, Turkish Journal of Mathematics, 30, 351-358, (2006).
[2] Ebrahimi Atani, S.: On secondary modules over pullback rings, Comm. Algebra, 30(6), 2675-2685, (2002).
[3] Macdonald, I. G.: Secondary representation of modules over commutative rings, Sympos. Math. XI, 23-43, (1973).
[4] Nastasescu, C. and Van Oystaeyen, F.: Graded Rings Theory, Mathematical Library 28, North Holand, Amsterdam, (1982).
[5] Refai, M. and Al-Zoubi, K.: On Graded Primary Ideals, Turkish Journal of Mathematics, 28, 217-229, (2004).
[6] Sharp, R. Y.: Asymptotic behavior of certain sets of attached prime ideals, J. London Math. Soc., 34, 212-218, (1986)