Projective Resolutions of Cohen-Macaulay Algebras.
Oswald Riemenschneider, David Eisenbud, Frank-Olaf Schreyer (1981)
Mathematische Annalen
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Displaying similar documents to “On Projective Resolutions of Frobenius Algebras and Gorenstein Rings.”
Projective Resolutions of Cohen-Macaulay Algebras.
Semicontinuity for representations of one-dimensional Cohen-Macaulay rings.
G.-M. Greuel, Y.A. Drozd (1996)
Mathematische Annalen
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Algebras over Zero-Dimensional Rings.
R.B. jr. Warfield, K.R. Goodearl (1976)
Mathematische Annalen
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Properties of Projective Generators.
E.R. WILLARD (1965)
Mathematische Annalen
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Compatible Rings and Algebras.
W. BANDLER (1963)
Mathematische Annalen
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Existence of Gorenstein projective resolutions and Tate cohomology
Peter Jørgensen (2007)
Journal of the European Mathematical Society
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Existence of proper Gorenstein projective resolutions and Tate cohomology is proved over rings with a dualizing complex. The proofs are based on Bousfield Localization which is originally a method from algebraic topology.
Bimodule resolution of the Liu-Schulz algebras.
Kosovskaya, N.Yu. (2005)
Zapiski Nauchnykh Seminarov POMI
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Resolutions for some filtered Algebras.
S. RAMANAN, B. SRIDHABAN (1962)
Mathematische Annalen
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Endomorphism Rings of Projective Modules.
Frank W. Anderson (1969)
Mathematische Zeitschrift
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Towards a theory of Bass numbers with application to Gorenstein algebras
Shiro Goto, Kenji Nishida (2002)
Colloquium Mathematicae
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The notion of Gorenstein rings in the commutative ring theory is generalized to that of Noetherian algebras which are not necessarily commutative. We faithfully follow in the steps of the commutative case: Gorenstein algebras will be defined using the notion of Cousin complexes developed by R. Y. Sharp [Sh1]. One of the goals of the present paper is the characterization of Gorenstein algebras in terms of Bass numbers. The commutative theory of Bass numbers turns out to carry over with...
Classification of the Tor-Algebras of Codimension Four Gorenstein Local Rings
Andrew R. Kustin, Matthew Miller (1985)
Mathematische Zeitschrift
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Note on Set-Theoretic Intersections of Subvarieties of Projective Space.
Thomaws Schmitt, Wolfgang Vogel (1979)
Mathematische Annalen
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Finiteness aspects of Gorenstein homological dimensions
Samir Bouchiba (2013)
Colloquium Mathematicae
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We present an alternative way of measuring the Gorenstein projective (resp., injective) dimension of modules via a new type of complete projective (resp., injective) resolutions. As an application, we easily recover well known theorems such as the Auslander-Bridger formula. Our approach allows us to relate the Gorenstein global dimension of a ring R to the cohomological invariants silp(R) and spli(R) introduced by Gedrich and Gruenberg by proving that leftG-gldim(R) = maxleftsilp(R),...
Projective modules over real affine algebras.
R. Parimala, M. Ojanguren (1990)
Mathematische Annalen
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Rings for which Every Cyclic Module is Quasi-Projective.
A. KOEHLER (1970)
Mathematische Annalen
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An improved Briancon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras.
Craig Huneke, Ian M. Aberbach (1993)
Mathematische Annalen
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An example of a non-projective smooth compactification of C3 with second Betti number equal to one.
Mikio Furshima (1994)
Mathematische Annalen
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Kaplansky's Theorem for f-Rings.
H. SUBRAMANIAN (1968/69)
Mathematische Annalen
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A class of quasitilted rings that are not tilted
Riccardo Colpi, Kent R. Fuller, Enrico Gregorio (2006)
Colloquium Mathematicae
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Based on the work of D. Happel, I. Reiten and S. Smalø on quasitilted artin algebras, the first two authors recently introduced the notion of quasitilted rings. Various authors have presented examples of quasitilted artin algebras that are not tilted. Here we present a class of right quasitilted rings that not right tilted, and we show that they satisfy a condition that would force a quasitilted artin algebra to be tilted.