Zhanmin Zhu
Abstract
A ring R is said to be left subhereditary, if factor modules of injective left R-modules are FG-injective. some characterizations of left subhereditary rings are given, and conditions under which left subhereditary rings are semisimple rings are given too. Moreover, some properties of left subhereditary rings are investigated.
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A ring R is said to be left subhereditary, if factor modules of injective left R-modules are FG-injective. some characterizations of left subhereditary rings are given, and conditions under which left subhereditary rings are semisimple rings are given too. Moreover, some properties of left subhereditary rings are investigated.
Key concepts: Mathematics, Injective function, Pure mathematics, Class (philosophy), Von Neumann regular ring, Semisimple module, Ring (chemistry), Injective module