On Regular Rings and Self-injective Rings, iv
Roger Yue Chi Ming (1989)
Publications de l'Institut Mathématique
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Roger Yue Chi Ming (1989)
Publications de l'Institut Mathématique
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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.
Г.Е. Пунинский, G. E. Puninskij, G. E. Puninskij, G. E. Puninskij (1994)
Algebra i Logika
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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...
Everett C. Dade (1982)
Mathematische Zeitschrift
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Pimenov, K.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Nanqing Ding, Jianlong Chen (1993)
Manuscripta mathematica
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Spencer E. Dickson (1965)
Mathematische Zeitschrift
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K.R. Goodearl, P.C. Eklof, J. Trlifaj (1997)
Forum mathematicum
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Stephen U. Chase, Carl Faith (1965)
Mathematische Zeitschrift
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P. GRIFFITH (1970)
Mathematische Annalen
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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.
Neal J. Rothman (1966)
Mathematische Zeitschrift
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