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In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore,…

Rings and Algebras · Mathematics 2019-02-20 Jianlong Chen , Huihui Zhu , Pedro Patricio , Yulin Zhang

In this paper we investigate the possible supersymmetric extensions for the massive (bi)gravity theories in the lowest non-trivial order. For this purpose we construct the cubic interaction vertices for massive spin-2 and one or two massive…

High Energy Physics - Theory · Physics 2018-08-08 Yu. M. Zinoviev

The purpose of this paper is to define some notions of movability for morphisms of inverse systems which extend the movability properties of inverse systems and which are compatible with the equivalence relations which define pro-morphisms…

Algebraic Topology · Mathematics 2016-06-09 P. S. Gevorgyan , I. Pop

In Theorem 3.1 of [12], we proved a rigidity result for self-shrinkers under the integral condition on the norm of the second fundamental form. In this paper, we relax the such bound to any finite constant (see Theorem 4.4 for details).

Differential Geometry · Mathematics 2023-12-27 Qi Ding

We briefly review superstring theories, highlighting the important concepts, developments, and open problems of the subject.

Popular Physics · Physics 2007-05-23 Constantin Bachas , Jan Troost

We investigate a new notion of regularity for tensor triangulated categories, called residual regularity. We show that residual regularity descends and ascends via finite separable extensions and we classify all finite groups whose derived…

Category Theory · Mathematics 2026-05-27 Emmy Van Rooy

In the first part of the work (Sections 2-6) a special attention is given to relative separation axioms and relative connectedness, in particular, many relative versions of p-T_0, p-T_1, p-T_2, (i,j)- and p-regularities, (i,j)- and…

General Topology · Mathematics 2007-06-29 B. P. Dvalishvili

We consider polynomial approximations of z-bar to better understand the torsional rigidity of polygons. Our main focus is on low degree approximations and associated extremal problems that are analogous to Polya's conjecture for torsional…

Classical Analysis and ODEs · Mathematics 2024-11-13 Adam Kraus , Brian Simanek

We give a survey on projective ring lines and some of their substructures which in turn are more general than a projective line over a ring.

Algebraic Geometry · Mathematics 2024-02-13 Hans Havlicek

We investigate gauge anomalies in the context of orbifold conformal field theories. Such anomalies manifest as failures of modular invariance in the constituents of the orbifold partition function. We review how this irregularity is…

High Energy Physics - Theory · Physics 2021-10-13 Daniel Robbins , Eric Sharpe , Thomas Vandermeulen

Two classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other, are extended to…

General Topology · Mathematics 2014-10-31 Eva Colebunders , Frédéric Mynard , Will Trott

Paravectors just like integers have a ring structure. By introducing an integrated product we get geometric properties which make paravectors similar to vectors. The concepts of parallelism, perpendicularity and the angle are conceptually…

Rings and Algebras · Mathematics 2016-05-10 Radomański Józef

I present a short review of models for transverse-momentum distributions and transversity, with a particular attention on general features common to many models. I compare some model results with experimental extractions. I discuss the…

High Energy Physics - Phenomenology · Physics 2022-03-02 Alessandro Bacchetta

The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers. We show that similar methods can be used to characterize the…

In this paper, using Q*-closed sets, we introduce a new version of normality called, Q*-normality which is a weak form of normality. Further utilizing Q*g-closed sets, we obtain some characterizations of Q*-normal and normal spaces and also…

General Topology · Mathematics 2025-06-19 Hamant Kumar , Neeraj Kumar Tomar

A notion of a coring extension is defined and it is related to the existence of an additive functor between comodule categories that factorises through forgetful functors. This correspondence between coring extensions and factorisable…

Rings and Algebras · Mathematics 2008-07-31 Tomasz Brzezinski

We prove that stability -- a strong quasiconvexity property -- pulls back under proper actions on proper metric spaces. This result has several applications, including that convex cocompact subgroups of both mapping class groups and outer…

Geometric Topology · Mathematics 2017-09-20 Tarik Aougab , Matthew Gentry Durham , Samuel J. Taylor

The notion of symmetry in polynomial rings with several indeterminates is generalized to polynomial rings over finite fields. Families of extensions of the projective line over a finite field of constants possessing this property are…

Number Theory · Mathematics 2007-05-23 Vinay Deolalikar

This contribution derives from a rather extensive study on the foundations of probability. We start by discussing critically the two main models of the random event in Probability Theroy and cast light over a number of incongruities. We…

Probability · Mathematics 2007-05-23 Paolo Rocchi , Leonida Gianfagna

A complete characterization of near subnormality for bilateral weighted shifts is obtained. As an application of the main results, many new answers to the Hilbert space problem 160 are presented at the end of the paper.

Functional Analysis · Mathematics 2007-05-23 Wang Gong-bao , Ma Ji-pu