Acta Mathematica Vietnamica
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ON COFINITELY $\delta$-SEMIPERFECT MODULES
L. V. THUYET, M. T. KOŞAN, T. C. QUYNHpp. 197-207
Abstract
Supplemented modules and $\oplus$-supplemented modules are useful in characterizing semiperfect modules and rings. Recently, the notion of cofinitely supplemented modules and $\delta$-supplemented modules were introduced as generalizations of supplemented modules. In this paper, $\oplus − co f_{\delta}$- supplemented and cofinitely δ-semiperfect modules are defined as generalizations of $\oplus$-cofinitely supplemented modules and cofinitely semiperfect modules. Several properties of these modules are obtained.