%0 Journal Article
%A Ashrafi, N.
%A Pouyan, N.
%T On Twin--Good Rings
%J Iranian Journal of Mathematical Sciences and Informatics
%V 12
%N 1
%U http://ijmsi.ir/article-1-638-en.html
%R DOI: 10.7508/ijmsi.2017.01.010
%D 2017
%K Twin-good ring, Neat ring, Regular Baer ring, π-Regular.,
%X In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to $Z_2$ or $Z_3$. The main result of [24] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every element of a regular Baer ring is twin-good if and only if R has no factor ring isomorphic to $Z_2$ or $Z_3$. Also we illustrate conditions under which extending modules, continuous modules and some classes of vector space are twin-good.
%> http://ijmsi.ir/article-1-638-en.pdf
%P 119-129
%& 119
%!
%9 Research paper
%L A-10-239-2
%+ Semnan University
%G eng
%@ 1735-4463
%[ 2017