Modules Graded by G-sets.
C. Nastasescu, F. Van Oystaeyen (1990)
Mathematische Zeitschrift
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C. Nastasescu, F. Van Oystaeyen (1990)
Mathematische Zeitschrift
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Huru, H.L. (2007)
Lobachevskii Journal of Mathematics
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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...
Gunnar Sjödin (1973)
Mathematica Scandinavica
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Kiiti Morita (1971)
Mathematische Zeitschrift
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Sheila R. O'Donnell (1972)
Mathematische Zeitschrift
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Patrik Lundström (2004)
Colloquium Mathematicae
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We introduce the abelian category R-gr of groupoid graded modules and give an answer to the following general question: If U: R-gr → R-mod denotes the functor which associates to any graded left R-module M the underlying ungraded structure U(M), when does either of the following two implications hold: (I) M has property X ⇒ U(M) has property X; (II) U(M) has property X ⇒ M has property X? We treat the cases when X is one of the properties: direct summand, free, finitely generated, finitely...
Rodney Y. Sharp (1970)
Mathematische Zeitschrift
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Kiiti Morita (1970)
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Hirosi Nagao, Tadasi Nakayama (1953/54)
Mathematische Zeitschrift
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