Dualities over compact rings
Enrico Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Enrico Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Kalathoor Varadarajan (1992)
Publicacions Matemàtiques
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The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category . For any compact Hausdorff...
E. Gregorio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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A. Orsatti, V. Roselli (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Daniel Simson (1991)
Fundamenta Mathematicae
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Enrico Gregorio (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Simion Breaz (2005)
Czechoslovak Mathematical Journal
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We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.
Sonia Dal Pio, Adalberto Orsatti (1994)
Rendiconti del Seminario Matematico della Università di Padova
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