LAUSR

Beck’s Zero-Divisor Graph in the Realm of Signed Graph

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1 Published in 2019 at "National Academy Science Letters"

DOI: 10.1007/s40009-019-00836-8

Abstract: For a commutative ring R with unity ( $$1\ne 0$$ 1 ≠ 0 ), the zero-divisor graph of R , denoted by $$\varGamma (R)$$ Γ ( R ) , is a simple graph with vertices… read more here.

Keywords: divisor graph; zero divisor; beck zero; graph realm ... See more keywords

The zero-divisor graph of a ring with involution

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1 Published in 2017 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498818500500

Abstract: For a *-ring A, we associate a simple undirected graph Γ*(A) having all nonzero left zero-divisors of A as vertices and, two vertices x and y are adjacent if xy* = 0. In case of… read more here.

Keywords: divisor graph; zero divisor; graph ring; ring involution ... See more keywords

The cozero-divisor graph of a module

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1 Published in 2018 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557118500924

Abstract: Let [Formula: see text] be an associative ring with non-zero identity and [Formula: see text] a non-zero unital left [Formula: see text]-module. The cozero-divisor graph of [Formula: see text], denoted by [Formula: see text], is… read more here.

Keywords: cozero divisor; see text; formula see; divisor graph ... See more keywords