Smash products for -sets, Clifford theory and duality theorems.
Năstăsescu, C., Van Oystaeyen, Fred, Zhou, Borong (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Năstăsescu, C., Van Oystaeyen, Fred, Zhou, Borong (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Refai, Mashhoor, Obiedat, Sofyan (1998)
International Journal of Mathematics and Mathematical Sciences
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Samir Mahmoud, S. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Claudia Menini (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Guédénon, T. (2010)
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Angel del Río (1992)
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Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring. ...
C. Năstăsescu, N. Rodinò (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Erlandsson, Viveka (2008)
Beiträge zur Algebra und Geometrie
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Leahy, John V., Vitulli, Marie A. (1985)
International Journal of Mathematics and Mathematical Sciences
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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.
Sands, A.D., Yahya, H. (2005)
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Khaldoun Al-Zoubi, Amani Al-Qderat (2017)
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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.
Molinelli, S., Patil, D.P., Tamone, G. (1998)
Beiträge zur Algebra und Geometrie
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Huq, S.A., Aijaz, Kulsoom (1969)
Portugaliae mathematica
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