Affiliation:
1. Department of Mathematics, National Taiwan University, Taipei 106, Taiwan
2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Nfld A1C 5S7, Canada
Abstract
Let M and N be two modules over a ring R. The concern is about the four substructures of hom R(M, N): the Jacobson radical J[M, N], the singular ideal Δ[M, N], the co-singular ideal ∇[M, N] and the total Tot [M, N]. One natural question is to characterize when the total is equal to one or more of the other structures. We review some known results and prove several new results towards this question and, as consequences, give answers to some related questions.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
3 articles.
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