Semiregular Morphisms |
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| Authors: | W K Nicholson |
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| Institution: | Department of Mathematics , University of Calgary , Calgary, Canada |
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| Abstract: | If M and N are modules, the concept of semiregularity (and regularity) of hom(M,N) is defined and studied, and the connection with the relative direct injective- and direct projective-properties is established. The relationship of semiregularity to the Jacobson radical of hom(M,N), to the singular and cosingular ideals of hom(M,N), and to the notion of lying over or under a direct summand, is described, and the basic results in the module case are extended. Communicated by R. Wisbauer. |
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| Keywords: | Jacobson radical Lying over and under Regular morphism Semiregular morphisms |
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