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Some Results on Modules Satisfying ACCR


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1 Department of Mathematics, Saurashtra University, Rajkot 360 005, India
     

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Let M be a module over a one- dimensional Laskerian domain R. In this note we determine when M satisfies the condition that every ascending chain of submodules of the form W: B ⊆ W: B2 W:B3 ⊆ … terminates for every submodule W of M and every finitely generated ideal B of R.

Keywords

Modules Satisfying Accr
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  • Some Results on Modules Satisfying ACCR

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Authors

S. Visweswaran
Department of Mathematics, Saurashtra University, Rajkot 360 005, India

Abstract


Let M be a module over a one- dimensional Laskerian domain R. In this note we determine when M satisfies the condition that every ascending chain of submodules of the form W: B ⊆ W: B2 W:B3 ⊆ … terminates for every submodule W of M and every finitely generated ideal B of R.

Keywords


Modules Satisfying Accr