Tate resolution and the structure of the exact local ring
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Mirosław Uscki (1988)
Colloquium Mathematicae
Tadeusz Józefiak (1972)
Fundamenta Mathematicae
Christine Berkesch Zamaere, Daniel Erman, Manoj Kummini, Steven V. Sam (2013)
Journal of the European Mathematical Society
The most fundamental complexes of free modules over a commutative ring are the Koszul complex, which is constructed from a vector (i.e., a 1-tensor), and the Eagon-Northcott and Buchsbaum-Rim complexes, which are constructed from a matrix (i.e., a 2-tensor). The subject of this paper is a multilinear analogue of these complexes, which we construct from an arbitrary higher tensor. Our construction provides detailed new examples of minimal free resolutions, as well as a unifying view on a wide variety...
Craig Huneke, Roger Wiegand (1994)
Mathematische Annalen
Craig Huneke, Roger Wiegand (1998)
Mathematica Scandinavica
Karl Dovermann, Jason Hanson (2005)
Open Mathematics
We calculate the homology and the cycles in tensor products of algebras of symmetric function over ℤ2
Oswaldo Lezama (2009)
Colloquium Mathematicae
Using syzygies computed via Gröbner bases techniques, we present algorithms for testing some homological properties for submodules of the free module , where A = R[x₁,...,xₙ] and R is a Noetherian commutative ring. We will test if a given submodule M of is flat. We will also check if M is locally free of constant dimension. Moreover, we present an algorithm that computes the rank of a flat submodule M of and also an algorithm that computes the projective dimension of an arbitrary submodule...
Maryam Salimi, Elham Tavasoli, Siamak Yassemi (2013)
Rendiconti del Seminario Matematico della Università di Padova
Tadeusz Józefiak (1976)
Fundamenta Mathematicae
Philip A. Griffith (1976)
Mathematische Zeitschrift
Ken-ichiroh Kawasaki (2010)
Actes des rencontres du CIRM
Stanisław Balcerzyk (1981)
Fundamenta Mathematicae
Takako Kuzumaki (1991)
Compositio Mathematica
Ferruccio Orecchia, Isabella Ramella (1990)
Manuscripta mathematica
Ştefan, Alin (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Amnon Neeman (1995)
Commentarii mathematici Helvetici
Rodney Y. Sharp (1975)
Commentarii mathematici Helvetici
L. Reid, S. Geller, C. Weibel (1989)
Journal für die reine und angewandte Mathematik
Jürgen Hurrelbrink (1978)
Manuscripta mathematica
Bernd Ulrich (1982)
Manuscripta mathematica
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