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Jebrel M. Habeb

Publications and source records attributed to Jebrel M. Habeb.

2 recordsLinked to original sources

Graded Classical Weakly Prime Submodules over Non-Commutative Graded Rings

The goal of this article is to propose and examine the notion of graded classical weakly prime submodules over non-commutative graded rings which is a generalization of the concept of graded classical weakly prime submodules over commutative graded rings. We investigate the structure of these types of submodules in various categories of graded modules.

math.RA↗

Conjugacy classes and invariant subrings of R-automorphisms of R[x]

We consider the group G of R-automorphisms of the polynomial ring R[x] especially in the case where R is the ring of integers modulo n. We describe conjugacy classes in G, and in the case where n = 4, we describe more explicitly the structure of G and determine all rings of invariants of R[x] with respect to subgroups of G.

math.AC↗