Some graded radicals of graded rings.
Sands, A.D., Yahya, H. (2005)
Mathematica Pannonica
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Sands, A.D., Yahya, H. (2005)
Mathematica Pannonica
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Huq, S.A., Aijaz, Kulsoom (1969)
Portugaliae mathematica
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Khaldoun Al-Zoubi, Amani Al-Qderat (2017)
Open Mathematics
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Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Refai, Mashhoor, Obiedat, Sofyan (1998)
International Journal of Mathematics and Mathematical Sciences
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Tadeusz Józefiak (1976)
Fundamenta Mathematicae
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Dragomir Z. Djokovic (1979)
Journal für die reine und angewandte Mathematik
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Real, Pedro (2000)
Homology, Homotopy and Applications
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Jan O. Kleppe (1979)
Mathematica Scandinavica
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Khaldoun Al-Zoubi, Imad Jaradat, Mohammed Al-Dolat (2015)
Open Mathematics
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Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded P-compactly packed modules and we give a number of results concerning such graded modules. In fact, our objective is to investigate graded P-compactly packed modules and examine in particular when graded R-modules are P-compactly packed. Finally, we introduce the concept of graded finitely P-compactly packed modules and give a number of its...
Dubois-Violette, M., Kerner, R. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Montse Vela (1998)
Collectanea Mathematica
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Peter Jørgensen (2003)
Fundamenta Mathematicae
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Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. It is proved that M is a dualizing complex for A if and only if the trivial extension A ⋉ M is a Gorenstein differential graded algebra. As a corollary, A has a dualizing complex if and only if it is a quotient of a Gorenstein local differential graded algebra.
Angel del Río (1990)
Publicacions Matemàtiques
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We study the weak dimension of a group-graded ring using methods developed in [B1], [Q] and [R]. We prove that if R is a G-graded ring with G locally finite and the order of every subgroup of G is invertible in R, then the graded weak dimension of R is equal to the ungraded one.