On the Global Dimension of Some Rings.
John C. McConnell (1977)
Mathematische Zeitschrift
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John C. McConnell (1977)
Mathematische Zeitschrift
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Günter Krause (1970)
Mathematische Zeitschrift
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Francis L. Sandomierski (1973)
Mathematische Zeitschrift
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J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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Keune, Frans (1996)
Documenta Mathematica
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Kazimierz Szymiczek (1987)
Colloquium Mathematicae
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Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
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R. Chaudhuri (1976)
Matematički Vesnik
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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),...
Bhat, Vijay Kumar (2006)
Lobachevskii Journal of Mathematics
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Bondarko, M.V. (2002)
Zapiski Nauchnykh Seminarov POMI
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S. Ramanan (1963)
Mathematische Zeitschrift
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Michał Kowalski (1976)
Annales Polonici Mathematici
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José L. García (2015)
Colloquium Mathematicae
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It was shown in [Colloq. Math. 135 (2014), 227-262] that the pure semisimplicity conjecture (briefly, pssC) can be split into two parts: first, a weak pssC that can be seen as a purely linear algebra condition, related to an embedding of division rings and properties of matrices over those rings; the second part is the assertion that the class of left pure semisimple sporadic rings (ibid.) is empty. In the present article, we characterize the class of left pure semisimple sporadic rings...
Keng-Teh Tan (1977)
Publications de l'Institut Mathématique
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