Choosing Generators of Modules over Local Rings.
Christian Gottlieb (1994)
Manuscripta mathematica
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Christian Gottlieb (1994)
Manuscripta mathematica
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Nanqing Ding, Jianlong Chen (1993)
Manuscripta mathematica
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Mikhail Khovanov, Radmila Sazdanovic (2015)
Fundamenta Mathematicae
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We develop a diagrammatic categorification of the polynomial ring ℤ[x]. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.
K.R. Goodearl, P.C. Eklof, J. Trlifaj (1997)
Forum mathematicum
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Bruno Angles (1997)
Manuscripta mathematica
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T. Wu, W. Tong (1995)
Manuscripta mathematica
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Kunio Yamagata (2008)
Colloquium Mathematicae
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We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasyl A. Chupordia (2015)
Commentationes Mathematicae Universitatis Carolinae
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A modular analogue of the well-known group theoretical result about finiteness of the derived subgroup in a group with a finite factor by its center has been obtained.
Daniel Quillen (1976)
Inventiones mathematicae
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Juan Jacobo Simón (1997)
Publicacions Matemàtiques
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In this note we show that there are no ring anti-isomorphism between row finite matrix rings. As a consequence we show that row finite and column finite matrix rings cannot be either isomorphic or Morita equivalent rings. We also show that antiisomorphisms between endomorphism rings of infinitely generated projective modules may exist.
W. Zimmermann, B. Zimmermann-Huisgen (1978)
Mathematische Zeitschrift
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Everett C. Dade (1982)
Mathematische Zeitschrift
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Wolfgang Kimmerle (1980)
Mathematische Zeitschrift
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W. Kucharz, M.A. Buchner (1989)
Manuscripta mathematica
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