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Maximal regularity
The present chapter is one of the central ones of this book project. Maximal regularity provides a link between the general theory of operator-valued... -
Hybrid Maximal Filter Spaces
We introduce a new way of encoding general topology in second order arithmetic that we call hybrid maximal filter (hybrid MF) spaces. This notion is... -
On k-ary parts of maximal clones
The main problem of clone theory is to describe the clone lattice for a given basic set. For a two-element basic set this was resolved by E.L. Post,...
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Maximal non-valuative domains
The notion of maximal non-valuative domain is introduced and characterized. An integral domain R is called a maximal non-valuative domain if R is not...
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Existence and Uniqueness of Maximal Elements for Preference Relations: Variational Approach
In this work, we reformulate the problem of existence of maximal elements for preference relations as a variational inequality problem in the sense...
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Discrete Maximal Regularity
Maximal \(L^p\) -regularity is an important mathematical... -
Distances between Maximal Monotone Operators
We introduce a series of distances between maximal monotone operators and study their properties. As applications, we consider the existence of...
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Maximal Digraphs with Respect to Primitive Positive Constructability
We study the class of all finite directed graphs (digraphs) up to primitive positive constructibility. The resulting order has a unique maximal...
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Maximal non-pseudovaluation subrings of an integral domain
The notion of maximal non-pseudovaluation subring of an integral domain is introduced and studied. Let R ⊂ S be an extension of domains. Then R is...
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Slim patch lattices as absolute retracts and maximal lattices
We prove that slim patch lattices are exactly the absolute retracts with more than two elements for the category of slim semimodular lattices with...
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Sizes of Flat Maximal Antichains of Subsets
This is the second of two papers investigating for which positive integers m there exists a maximal antichain of size m in the Boolean lattice
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Symmetric Maximal Condorcet Domains
We introduce the operation of composition of domains and show that it reduces the classification of symmetric maximal Condorcet domains to the...
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Control sets on maximal compact subgroups
Let G be a noncompact connected semisimple Lie group, with finite center. In this paper we study the action of semigroups S of G , with nonempty...
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On some maximal and minimal sets
A set A of positive integers is called 3-free if it contains no 3-term arithmetic progression. Furthermore, such A is called maximal if it is not...
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On maximal cliques in the graph of simplex codes
The induced subgraph of the corresponding Grassmann graph formed by simplex codes is considered. We show that this graph, as the Grassmann graph,...
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Finite groups with some generalized smooth maximal subgroups
A finite group G is called smooth group if it has a maximal chain of subgroups in which any two intervals of the same length are isomorphic (as a...