Module-Theoretic Characterizations of t-Linkative Domains |
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| Authors: | Hwankoo Kim |
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| Institution: | 1. Department of Information Security , College of Engineering, Hoseo University , Asan, Korea hkkim@hoseo.edu |
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| Abstract: | If R is an integral domain, we extend to any R-module the notion of semi-divisorial envelope, or w-envelope, defined by Wang and McCasland for torsion-free R-modules, and introduce and study the related notions of co-semi-divisoriality and w-nullity. These concepts are then used to give new module-theoretic characterizations of t-linkative domains, a class of domains widely considered in multiplicative ideal theory. |
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| Keywords: | Co-semi-divisorial w-Isomorphic t-Linkative t-Linked w-Null (essentially) Pseudo-t-linkative Semi-divisorial Semi-divisorial envelope Weakly w-flat |
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