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On the zero-divisor hypergraph of a reduced ring
The concept of zero-divisor graphs of rings is widely used for establishing relationships between the properties of graphs and the properties of the...
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On the K-theory of regular coconnective rings
We show that for a coconnective ring spectrum satisfying regularity and flatness assumptions, its algebraic K -theory agrees with that of its
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On the regular representation of solvable Lie groups with open coadjoint quasi-orbits
We obtain a Lie theoretic intrinsic characterization of the connected and simply connected solvable Lie groups whose regular representation is a...
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Cohomology Rings of Toric Bundles and the Ring of Conditions
The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding...
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On Compatible Ring Structures of the Injective Hull of a Ring
For a ring R, let \(E(R_R)\) and Q(R) be the...
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The Ring of Integer-Valued Polynomials on 3 × 3 Matrices and Its Integral Closure
A polynomial \(f(x) \in \mathbb {Q}[x]\) is called integer-valued if...
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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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Motivation from Ring Theory
In this chapter, the reader will become familiar with our notation and basic assumptions on the one hand; on the other, they are invited to various...
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A Friedlander-Suslin Theorem over a Noetherian Base Ring
Let k be a noetherian commutative ring and let G be a finite flat group scheme over k . Let G act rationally on a finitely generated commutative k -alge...
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Minimal silting modules and ring extensions
Ring epimorphisms often induce silting modules and cosilting modules, termed minimal silting or minimal cosilting. The aim of this paper is twofold....
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A Joint Spectral Radius for \(\omega \) -Regular Language-Driven Switched Linear Systems
In this chapter, we introduce some tools to analyze stability properties of discrete-time switched linear systemsLinearsystems driven by switching...
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The Second Cohomology of Regular Semisimple Hessenberg Varieties from GKM Theory
AbstractWe describe the second cohomology of a regular semisimple Hessenberg variety by generators and relations explicitly in terms of GKM theory....
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ON DIMENSION OF THE SPACE OF DERIVATIONS ON COMMUTATIVE REGULAR ALGEBRAS
The present paper is devoted to the study of the dimension of the space of all derivations on homogeneous commutative regular algebras. We shall show...
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Infinite-Order Differential Operators in the Module of Formal Generalized Functions and in a Ring of Formal Power Series
We obtain the general form of continuous linear map**s acting in the module of formal generalized functions over a commutative ring and commuting...
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Near-ring congruences on seminearrings
While establishing the bijection between near-ring congruences and various types of ideals of seminearrings, different kinds of restrictions were...