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An Approach to Distributed Systems from Orderings and Representability
In the present paper, we propose a new approach on ‘distributed systems’: the processes are represented through total orders and the communications...
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Nuclearity and Finite-Representability in the System of Completely Integral Map** Spaces
In this paper, we investigate local properties in the system of completely integral map** spaces. We introduce notions of injectivity, local...
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Representability of matroids by c-arrangements is undecidable
For a natural number c , a c -arrangement is an arrangement of dimension c subspaces satisfying the following condition: the sum of any subset of the...
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Affine representability and decision procedures for commutativity theorems for rings and algebras
We consider applications of a finitary version of the Affine Representability theorem, which follows from recent work of Belov-Kanel, Rowen, and...
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Brown representability for triangulated categories with a linear action by a graded ring
In this paper we give necessary and sufficient conditions for a functor to be representable in a strongly generated triangulated category which has a...
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Notions of representability for cylindric algebras: some algebras are more representable than others
The theory of cylindric algebras was introduced by Tarski in the fifties of the twentieth century, and its intensive study was further pursued by...
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The scheme of monogenic generators I: representability
This is the first in a series of two papers that study monogenicity of number rings from a moduli-theoretic perspective. Given an extension of...
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Reducts of Relation Algebras: The Aspects of Axiomatisability and Finite Representability
In this paper, we show that the class of representable residuated semigroups has the finite representation property. That is, every finite...
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Representability and Boxicity of Simplicial Complexes
Let X be a simplicial complex on vertex set V . We say that X is d -representable if it is isomorphic to the nerve of a family of convex sets in
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Shapes and recession cones in mixed-integer convex representability
Mixed-integer convex representable (MICP-R) sets are those sets that can be represented exactly through a mixed-integer convex programming...
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Topologies for the Continuous Representability of All Continuous Total Preorders
In this paper, we present a new simple axiomatization of useful topologies , i.e., topologies on an arbitrary set, with respect to which every...
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Finite representability of semigroups with demonic refinement
The motivation for using demonic calculus for binary relations stems from the behaviour of demonic turing machines, when modelled relationally....
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Edge colourings and qualitative representations of chromatic algebras
Conventional Ramsey-theoretic investigations for edge-colourings of complete graphs are framed around avoidance of certain configurations. Motivated...
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Structures of Degrees of Negative Representations of Linear Orders
The structures of partially ordered sets of degrees of negative and positive representability of linear orders are studied. The focus is on the...
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Mixed-integer bilevel representability
We study the representability of sets by extended formulations using mixed-integer bilevel programs. We show that feasible regions modeled by...
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Para-Abelian Varieties and Albanese Maps
We construct for every proper algebraic space over a ground field an Albanese map to a para-abelian variety, which is unique up to unique...