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- W2040746860 abstract "We define and investigate T 11-type modules as a generalization of t-extending modules, and modules satisfying C 11 condition. A module M is said to be T 11-type if every t-closed submodule of M has a complement which is a direct summand. Direct sums of T 11-type modules inherit the property. Some equivalent conditions for a module M to be T 11-type are given. We characterize a module M for which every direct summand satisfies T 11 condition. If R R is T 11-type, then R/Z 2(R R ) is a C 2 ring if and only if it is a von Neumann regular ring. Applying this result, we characterize a right t-extending (resp., finitely Σ-t-extending, or Σ-t-extending) ring R for which R/Z 2(R R ) is von Neumann regular." @default.
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- W2040746860 date "2014-06-09" @default.
- W2040746860 modified "2023-09-26" @default.
- W2040746860 title "Modules Whoset-Closed Submodules Have a Summand as a Complement" @default.
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- W2040746860 doi "https://doi.org/10.1080/00927872.2013.839695" @default.
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