Modules semicocritical with respect to a torsion theory and their applications |
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| Authors: | Mark L Teply |
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| Institution: | (1) Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA;(2) Department of Mathematics, University of Wisconsin, 53201 Milwaukee, WI, USA |
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| Abstract: | The concepts of primitive ideal and semicocritical module with respect to a torsion theory are studied and related to the
structure of torsionfree injective modules. Applications are made to the study of (1) composition series with respect to a
torsion theory and (2) the structure of endomorphism rings of torsionfree modules. These results are natural generalizations
of the properties of certain modules over (noetherian) rings with Krull dimension. |
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| Keywords: | |
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