2019
Том 71
№ 6

All Issues

Principally Goldie$\ast$ -lifting modules

Guroglu A. T., Meric E. T.


Abstract

A module $M$ is called а principal Goldie$\ast$ -lifting if, for every proper cyclic submodule $X$ of $M$, there is a direct summand $D$ of $M$ such that $X\beta \ast D$. We focus our attention on principally Goldie $\ast$ -lifting modules as a generalization of lifting modules. Various properties of these modules are presented.

Citation Example: Guroglu A. T., Meric E. T. Principally Goldie$\ast$ -lifting modules // Ukr. Mat. Zh. - 2018. - 70, № 7. - pp. 905-912.