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In this work, we generalize several topological results and concepts from ring theory to the setting of monoids.

Commutative Algebra · Mathematics 2026-03-10 Doniyor Yazdonov , Carmelo Antonio Finocchiaro

Automorphism groups are intrincate conjugacy invariants for subshifts, which can reveal important features of the dynamical structure of a shift action. One important case is the study of automorphism groups when the underlying subshift has…

Dynamical Systems · Mathematics 2019-06-05 Álvaro Bustos

For a fixed ring, different classes of ring epimorphisms and localisation maps are compared. In fact, we provide sufficient conditions for a ring epimorphism to be a universal localisation. Furthermore, we consider recollements induced by…

Rings and Algebras · Mathematics 2012-07-20 Frederik Marks , Jorge Vitoria

The article is devoted to microbundles over topological rings. Their structure, homomorphisms, automorphisms and extensions are studied. Moreover, compactifications and inverse spectra of microbundles over topological rings are…

General Topology · Mathematics 2019-03-29 Sergey V. Ludkovsky

In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when…

Rings and Algebras · Mathematics 2016-02-24 Gary Walls , Linhong Wang

Algebraic deformations of modules over a ring are considered. The resulting theory closely resembles Gerstenhaber's deformation theory of associative algebras.

Commutative Algebra · Mathematics 2007-05-23 Donald Yau

We set up a framework for using algebraic geometry to study the generalised cohomology rings that occur in algebraic topology. This idea was probably first introduced by Quillen and it underlies much of our understanding of complex oriented…

Algebraic Topology · Mathematics 2007-05-23 Neil P. Strickland

In this paper we give a factorization theorem for the ring of exponential polynomials in many variables over an algebraically closed field of characteristic 0 with an exponentiation. This is a generalization of the factorization theorem due…

Rings and Algebras · Mathematics 2012-06-29 P. D'Aquino , G. Terzo

Given a ring $R$, we study the bimodules $M$ for which the trivial extension $R\propto M$ is morphic. We obtain a complete characterization in the case where $R$ is left perfect, and we prove that $R\propto Q/R$ is morphic when $R$ is a…

Rings and Algebras · Mathematics 2009-07-08 Alexander J. Diesl , Thomas J. Dorsey , Warren Wm. McGovern

We characterize pointwise minimal extensions of rings introduced by P.-J. Cahen, D. E. Dobbs and T. G. Lucas.

Commutative Algebra · Mathematics 2017-08-29 Gabriel Picavet , Martine Picavet-L'Hermitte

The aim of this paper is to give an algebraic characterization of the rings $C(X,\mathbb{Q}_p)$ of all continuous $\mathbb{Q}_p$-valued functions on a compact space $X$. The characterization is similar to that of M. Stone from 1940 for the…

Commutative Algebra · Mathematics 2014-01-21 S. V. Leite , A. Prestel

The set of periodic distributions, with usual addition and convolution, forms a ring, which is isomorphic, via taking a Fourier series expansion, to the ring ${\mathcal{S}}'({\mathbb{Z}}^d)$ of sequences of at most polynomial growth with…

Functional Analysis · Mathematics 2018-02-20 Amol Sasane

The purpose of this paper is to develop a suitable notion of continuous L_infinity morphism between DG Lie algebras, and to study twists of such morphisms.

Quantum Algebra · Mathematics 2007-05-23 Amnon Yekutieli

Recent results on finite open group transformations are reviewed.

High Energy Physics - Theory · Physics 2007-05-23 Robert Marnelius

In this paper, we give the rigidity theorem for a log morphism as an extension of a fixed scheme morphism. We also give several applications of the rigidity theorem.

Algebraic Geometry · Mathematics 2007-05-23 Atsushi Moriwaki

In this paper, we introduce the concept of $\Sigma$-semicommutative ring, for $\Sigma$ a finite family of endomorphisms of a ring $R$. We relate this class of rings with other classes of rings such that Abelian, reduced, $\Sigma$-rigid,…

Rings and Algebras · Mathematics 2022-01-21 Héctor Suárez , Armando Reyes

The paper concerns the automorphism groups of Cayley graphs over cyclic groups which have a rational spectrum (rational circulant graphs for short). With the aid of the techniques of Schur rings it is shown that the problem is equivalent to…

Combinatorics · Mathematics 2010-08-05 Mikhail Klin , István Kovács

We extend the analogy between the extended Robba rings of p-adic Hodge theory and the one-dimensional affinoid algebras of rigid analytic geometry, proving some fundamental properties that are well known in the latter case. In particular,…

Number Theory · Mathematics 2017-09-20 Peter Wear

We define what we call morphisms of Cartan connections. We generalize the main theorems on Cartan connections to theorems on morphisms. Many of the known constructions involving Cartan connections turn out to be examples of morphisms. We…

Differential Geometry · Mathematics 2010-09-29 Benjamin McKay

Here we give further evidences to support our scaling relation described in our previous paper [cond-mat/0006459, Phys. Rev. Lett. Vol.85, pp.1238 (2000)].

Soft Condensed Matter · Physics 2016-08-16 Chi-Hang Lam , Viktor K. Horváth
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