The Radical Formula for Noncommutative Rings
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DOI: 10.1007/s11253-020-01723-y
Abstract: We determine some classes of left modules satisfying the radical formula in a noncommutative ring. We also show that, under a certain condition, a finitely generated module over an HNP -ring (a generalization of the… read more here.
Keywords: formula noncommutative; noncommutative rings; radical formula; formula ... See more keywords
On r-Noncommuting Graph of Finite Rings
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DOI: 10.3390/axioms10030233
Abstract: Let R be a finite ring and r∈R. The r-noncommuting graph of R, denoted by ΓRr, is a simple undirected graph whose vertex set is R and two vertices x and y are adjacent if… read more here.
Keywords: noncommutative rings; graph finite; noncommuting graph; graph ... See more keywords