The graph of zero-divisors of quadratic quotients of Rees algebras
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DOI: 10.1080/00927872.2021.1930025
Abstract: Abstract We study the graph of zero-divisors of a quadratic quotient of a Rees algebra. We provide conditions in order to determine its girth and diameter, extending several results regarding amalgamated duplications and Nagata’s idealization. read more here.
Keywords: graph zero; divisors quadratic; quadratic quotients; quotients rees ... See more keywords
The Inverse Eigenvalue Problem of a Graph, Zero Forcing, and Related Parameters
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DOI: 10.1090/noti2033
Abstract: The authors of this piece are organizers of the AMS 2020 Mathematics Research Communities summer conference Finding Needles in Haystacks: Approaches to Inverse Problems Using Combinatorics and Linear Algebra, one of five topical research conferences… read more here.
Keywords: research; problem graph; zero forcing; eigenvalue problem ... See more keywords
Associate class graph of zero-divisors of a commutative ring
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DOI: 10.1142/s0219498820501558
Abstract: In this paper, we introduce the concept of the associate class graph of zero-divisors of a commutative ring [Formula: see text], denoted by [Formula: see text]. Some properties of [Formula: see text], including the diameter,… read more here.
Keywords: class graph; associate class; graph zero; graph ... See more keywords