A decomposition theorem for \(\wp^*\)-semisimple rings.
DOI10.1016/S0022-4049(03)00127-0zbMath1048.16010MaRDI QIDQ1421254
Hai Quang Dinh, Dinh Van Huynh
Publication date: 26 January 2004
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
direct sumsprojective modulessemisimple modulesright Artinian ringsquasi-injective modulesquasi-continuous modules\(\wp^*\)-semisimple rings
Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20)
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- Structure of some Noetherian SI rings
- On some classes of Artinian rings
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- Rings whose Indecomposable Injective Modules are Uniserial
- Characterizing rings by a direct decomposition property of their modules
- Singular torsion and the splitting properties
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