Enumerating linear systems on graphs
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DOI: 10.1007/s00209-020-02473-0
Abstract: The divisor theory of graphs views a finite connected graph $G$ as a discrete version of a Riemann surface. Divisors on $G$ are formal integral combinations of the vertices of $G$, and linear equivalence of… read more here.
Keywords: systems graphs; enumerating linear; linear systems; complete linear ... See more keywords
Divisor closed and quasi-divisor closed extensions
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DOI: 10.1080/00927872.2021.1898629
Abstract: Abstract An extension of integral domains is called a quasi-divisor closed extension if, whenever for some nonzero then there exist units u, v of B such that The notion of a quasi-divisor closed extension is… read more here.
Keywords: quasi divisor; divisor; divisor closed; extension ... See more keywords
On zero-divisor graphs of skew polynomial rings over non-commutative rings
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DOI: 10.1142/s0219498817500566
Abstract: In this paper, we continue to study zero-divisor properties of skew polynomial rings R[x; α,δ], where R is an associative ring equipped with an endomorphism α and an α-derivation δ. For an associative ring R,… read more here.
Keywords: divisor graphs; graphs skew; zero divisor; polynomial rings ... See more keywords
Classification of posets using zero-divisor graphs
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DOI: 10.1515/ms-2017-0076
Abstract: Abstract Halaš and Jukl associated the zero-divisor graph G to a poset (X,≤) with zero by declaring two distinct elements x and y of X to be adjacent if and only if there is no… read more here.
Keywords: divisor graphs; classification posets; zero divisor; divisor ... See more keywords