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The purpose of this paper is to explore the concept of localization, which comes from homotopy theory, in the context of finite simple groups. We give an easy criterion for a finite simple group to be a localization of some simple subgroup…

Group Theory · Mathematics 2007-05-23 Jose L. Rodriguez , Jerome Scherer , Jacques Thevenaz

The notion of cosilting module was recently introduced as a generalization of the concept of cotilting module. In this paper, it is introduced the notion of finitely cosilting module, i.e. a cosilting module with some finitness conditions,…

Rings and Algebras · Mathematics 2017-12-05 Flaviu Pop

We provide a family of group measure space II_1 factors for which all finite index subfactors can be explicitly listed. In particular, the set of all indices of irreducible subfactors can be computed. Concrete examples show that this index…

Operator Algebras · Mathematics 2011-11-29 Steven Deprez , Stefaan Vaes

Every finite subunital of any generalized hermitian unital is itself a hermitian unital; the embedding is given by an embedding of quadratic field extensions. In particular, a generalized hermitian unital with a finite subunital is a…

Combinatorics · Mathematics 2022-01-11 Theo Grundhöfer , Markus J. Stroppel , Hendrik Van Maldeghem

We observe algebraic derivations on an affine domain B defined over an algebraically closed field of characteristic 0, which are called locally finite derivations in commutative and non-commutative contexts in other references. We observe…

Algebraic Geometry · Mathematics 2013-03-07 Kayo Masuda , Masayoshi Miyanishi

We construct a tree T of maximal degree 3 with infinitely many leaves such that whenever finitely many of them are removed, the remaining tree is isomorphic to T. In this sense T resembles an infinite star.

Combinatorics · Mathematics 2008-12-12 Mykhaylo Tyomkyn

We obtain several results concerning the concept of isotypic structures. Namely we prove that any field of finite transcendence degree over a prime subfield is defined by types; then we construct isotypic but not isomorphic structures with…

Logic · Mathematics 2025-06-18 Pavel Gvozdevsky

The article is devoted to stochastic processes with values in finite-dimensional vector spaces over infinite locally compact fields with non-trivial non-archimedean valuations. Infinitely divisible distributions are investigated. Theorems…

Probability · Mathematics 2018-12-18 S. V. Ludkovsky

We consider a fractional generalization of gradient systems. We use differential forms and exterior derivatives of fractional orders. Examples of fractional gradient systems are considered. We describe the stationary states of these…

Chaotic Dynamics · Physics 2015-06-26 Vasily E. Tarasov

We consider random fields that can be represented as integrals of deterministic functions with respect to infinitely divisible random measures and show that these random fields are infinitely divisible.

Probability · Mathematics 2010-08-13 Wolfgang Karcher , Hans-Peter Scheffler , Evgeny Spodarev

Let us denote by LF the class of all orthomodular lattices (OMLs) that are locally finite (i.e., L in LF provided each finite subset of L generates in L a finite subOML). We first show in this note how one can obtain new locally finite OMLs…

Logic · Mathematics 2022-04-18 Dominika Burešová , Pavel Pták

In this note we study the finite groups whose subgroup lattices are dismantlable.

Group Theory · Mathematics 2015-02-18 Marius Tarnauceanu

The irreducible alternative superbimodules are studied. The complete classification is obtained for even bimodules of arbitrary dimension and for finite-dimensional irreducible superbimodules over an algebraically closed field.

Rings and Algebras · Mathematics 2014-01-14 Ivan Shestakov , Maria Trushina

In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the class of maps of exponentially integrable distortion.…

Complex Variables · Mathematics 2021-09-28 Olli Hirviniemi , István Prause , Eero Saksman

The first part of the paper is an introduction to the theory of probabilistic concurrent systems under a partial order semantics. Key definitions and results are given and illustrated on examples. The second part includes contributions. We…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Samy Abbes

In this paper, general logic-systems are investigated. It is shown that there are infinitely many finite consequence operators defined on a fixed language L that cannot be generated from a finite logic-system. It is shown that a set map is…

General Mathematics · Mathematics 2011-11-10 Robert A. Herrmann

The notion of finitary spacetime sheaves is introduced based on locally finite approximations of the continuous topology of a bounded region of a spacetime manifold. Finitary spacetime sheaves are seen to be sound mathematical models of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ioannis Raptis

We present new classes of permutation polynomials over finite fields.

Number Theory · Mathematics 2010-06-10 Jose E. Marcos

We show that (local) confluence of terminating locally constrained rewrite systems is undecidable, even when the underlying theory is decidable. Several confluence criteria for logically constrained rewrite systems are known. These were…

Logic in Computer Science · Computer Science 2024-07-02 Jonas Schöpf , Fabian Mitterwallner , Aart Middeldorp

Any maximal root subsystem of a finite crystallographic reduced root system is either a closed root subsystem or its dual is a closed root subsystem in the dual root system. In this article, we classify the maximal root subsystems of an…

Rings and Algebras · Mathematics 2025-12-24 Irfan Habib