On (Δ−, ∇−, Ι−) semipotent and the total of rings and modules
published by Damascus University
in 2010
in Mathematics
and research's language is
العربية
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Abstract in English
Let M and N be two modules over a ring R. The object of this paper is the study
of substructures of hom (M, N) R such as, radical, the singular, and co-singular
ideal and the total. The new obtained results include necessary and sufficient
conditions the total of a ring R to equal some ideal of R.
References used
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G. Azumaya: (1991), " F − Semi-perfect modules "; J. Algebra, 136, p.73-85
H. Hamza: (1998), " − 0 I Rings and − 0 I modules"; Math. J. Okayama Univ. Vol.40, p.91-97