On H-supplemented modules over a right perfect ring
I Kikumasa, Y Kuratomi - Communications in Algebra, 2018 - Taylor & Francis
I Kikumasa, Y Kuratomi
Communications in Algebra, 2018•Taylor & FrancisIn 1971, Koehler proved a structure theorem for quasi-projective modules over right perfect
rings by using results of Wu–Jans. Later Mohamed–Singh studied discrete modules over
right perfect rings and gave decomposition theorems for these modules. Moreover, Oshiro
deeply studied (quasi-) discrete modules over general rings. In this paper, we consider that
decomposition theorems for H-supplemented modules with the condition (D 2) or (D 3) over
right perfect rings.
rings by using results of Wu–Jans. Later Mohamed–Singh studied discrete modules over
right perfect rings and gave decomposition theorems for these modules. Moreover, Oshiro
deeply studied (quasi-) discrete modules over general rings. In this paper, we consider that
decomposition theorems for H-supplemented modules with the condition (D 2) or (D 3) over
right perfect rings.
Abstract
In 1971, Koehler proved a structure theorem for quasi-projective modules over right perfect rings by using results of Wu–Jans . Later Mohamed–Singh studied discrete modules over right perfect rings and gave decomposition theorems for these modules. Moreover, Oshiro deeply studied (quasi-)discrete modules over general rings. In this paper, we consider that decomposition theorems for H-supplemented modules with the condition (D2) or (D3) over right perfect rings.
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