The André-Quillen homology of commutative graded algebras
Tadeusz Józefiak (1976)
Fundamenta Mathematicae
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Tadeusz Józefiak (1976)
Fundamenta Mathematicae
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Samir Mahmoud, S. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Huq, S.A., Aijaz, Kulsoom (1969)
Portugaliae mathematica
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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...
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.
Jan O. Kleppe (1979)
Mathematica Scandinavica
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Real, Pedro (2000)
Homology, Homotopy and Applications
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Martínez-Villa, Roberto, Zacharia, Dan (2003)
AMA. Algebra Montpellier Announcements [electronic only]
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Dragomir Z. Djokovic (1979)
Journal für die reine und angewandte Mathematik
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Sands, A.D., Yahya, H. (2005)
Mathematica Pannonica
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Dubois-Violette, M., Kerner, R. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Everett C. Dade (1980)
Mathematische Zeitschrift
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Robin L. Hudson (2006)
Banach Center Publications
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By abstracting the multiplication rule for ℤ₂-graded quantum stochastic integrals, we construct a ℤ₂-graded version of the Itô Hopf algebra, based on the space of tensors over a ℤ₂-graded associative algebra. Grouplike elements of the corresponding algebra of formal power series are characterised.
Luchezar L. Avramov, Jürgen Herzog (1994)
Inventiones mathematicae
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