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Classification of the Total and Regular Graphs of Three-Point Sets
The paper studies the structures of the total and regular graphs of sets of three elements over fields of zero characteristic. The graphs themselves...
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Excellent Rings and Regular Morphisms
Chapter 3 , together with Chap. 5 , is one of the most consistent...
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Near-ring congruences on additively regular seminearrings
In this paper we first obtain analogues of some results of LaTorre (Semigroup Forum 24(1):327–340, 1982) in the setting of additively regular...
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Tight closure and strongly F-regular rings
We describe several aspects of the theory of strongly F-regular rings, including how they should be defined without the hypothesis of F-finiteness,...
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A regular Tóth identity and a Menon-type identity in residually finite Dedekind domains
In this paper, we define the s -dimensional regular generalized Euler function and give a variant of Tóth’s identity in residually finite Dedekind...
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Estimation of bounds for the zeros of polynomials and regular functions with quaternionic coefficients
The aim of this work is to consider bounds for the zeros of quaternionic polynomials and regular functions with coefficients located on only one side...
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Archimedean Representation Theorem for modules over a commutative ring
Pólya’s Positivstellensatz and Handelman’s Positivstellensatz are known to be concrete instances of the abstract Archimedean Representation Theorem...
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EQUIVARIANT COX RING
We define the equivariant Cox ring of a normal variety with algebraic group action. We study algebraic and geometric aspects of this object and show...
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The Terwilliger algebras of doubly regular tournaments
The Terwilliger algebras of asymmetric association schemes of rank 3, whose nonidentity relations correspond to doubly regular tournaments, are shown...
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Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable
The estimation of zeros of a polynomial with quaternionic coefficients has been done by many mathematicians in the recent past using various...
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Invertibility, Semistar Operations, and the Ring of Finite Fractions
Elliott and Lucas each introduced “Q0” variants of Dedekind rings, Krull rings, and Prüfer (v-multiplication) rings. These rings are defined...
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Delaunay and Regular Triangulations as Lexicographic Optimal Chains
We introduce a total order on n -simplices in the n -Euclidean space for which the support of the lexicographic-minimal chain with the convex hull...
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Evaluating Regular Path Queries on Compressed Adjacency Matrices
Regular Path Queries (RPQs), which are essentially regular expressions to be matched against the labels of paths in labeled graphs, are at the core...
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An ultimately periodic chain in the integral Lie ring of partitions
Given an integer n , we introduce the integral Lie ring of partitions with bounded maximal part, whose elements are in one-to-one correspondence to...
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Problems About Torsors over Regular Rings
We overview a web of conjectures about torsors under reductive groups over regular rings and survey some techniques that have been used for making...