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We review the state of the art for measuring the X-ray polarization of neutron stars. We discuss how valuable precision measurements of the degree and position angle of polarization as a function of energy and, where relevant, of pulse…

Astrophysics · Physics 2007-05-23 M. C. Weisskopf , R. F. Elsner , D. Hanna , V. M. Kaspi , S. L. O'Dell , G. G. Pavlov , B. D. Ramsey

Silting modules are abundant. Indeed, they parametrise the definable torsion classes over a noetherian ring, and the hereditary torsion pairs of finite type over a commutative ring. Also the universal localisations of a hereditary ring, or…

Representation Theory · Mathematics 2018-01-26 Lidia Angeleri Hügel

In extended hearts of bounded $t$-structures on a triangulated category, we provide a Happel-Reiten-Smalo tilting theorem and a characterization for $s$-torsion pairs. Applying these to $m$-extended module categories, we characterize…

Representation Theory · Mathematics 2025-01-09 Yu Zhou

The aim of this paper is to introduce and study graded and filtered gamma rings and gamma modules. We prove that the filtered $\Gamma$-ring (module) is a generalization of the notion of graded ring (module). Also, we construct a graded…

Rings and Algebras · Mathematics 2022-11-02 Shadi Shaqaqha , Afnan Dagher

Suitable duals of multimodules are introduced and used to provide transposition contravariant right semi-adjunctions (and dualitites under reflexivity). Several additional notions on multimodules are discussed: generalized morphisms and…

Category Theory · Mathematics 2025-08-28 Paolo Bertozzini , Roberto Conti , Chatchai Puttirungroj

We review the nuclear astrophysics aspects of accreting neutron stars in X-ray binaries. We summarize open astrophysical questions in light of recent observations and their relation to the underlying nuclear physics. Recent progress in the…

Astrophysics · Physics 2009-11-11 H. Schatz , K. E. Rehm

Unimodularity is localized to a complete stationary type, and its properties are analysed. Some variants of unimodularity for definable and type-definable sets are introduced, and the relationship between these different notions is studied.…

Logic · Mathematics 2016-10-06 Darío García , Frank Olaf Wagner

The non-linear behaviour of oscillation modes in compact stars is a topic of considerable current interest. Accurate numerical studies of such phenomena are likely to require powerful new approaches to both fluid and spacetime computations.…

Astrophysics · Physics 2007-05-23 Uli Sperhake , Philippos Papadopoulos , Nils Andersson

Some pairs of neutron star models can intuitively be thought of as being `closer' together than others, in the sense that more precise observations might be required to distinguish between them than would be necessary for other pairs. In…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Arthur G Suvorov

We develop a theory of toroidal vertex algebras and their modules, and we give a conceptual construction of toroidal vertex algebras and their modules. As an application, we associate toroidal vertex algebras and their modules to toroidal…

Quantum Algebra · Mathematics 2012-01-30 Haisheng Li , Shaobin Tan , Qing Wang

Rotating relativistic stars have been studied extensively in recent years, both theoretically and observationally, because of the information they might yield about the equation of state of matter at extremely high densities and because…

High Energy Astrophysical Phenomena · Physics 2017-12-01 Vasileios Paschalidis , Nikolaos Stergioulas

Concerning the stability of two-fluid star models, we prove the rigorous equivalence of two independent determining methods for mixed stars, after a brief review of the hybrid star case. Our derivations apply to general multi-fluid cases,…

High Energy Astrophysical Phenomena · Physics 2025-12-02 Xiao-Ding Zhou , Tian-Shun Chen , Si-Man Wu , Kilar Zhang

We report on recent progress in our theoretical understanding of X-ray binaries, which has largely been driven by new observations, and illustrate the interplay between theory and observations considering as examples intermediate-mass X-ray…

Astrophysics · Physics 2007-05-23 Philipp Podsiadlowski , Eric Pfahl , Saul Rappaport

Rotating relativistic stars have been studied extensively in recent years, both theoretically and observationally, because of the information one could obtain about the equation of state of matter at extremely high densities and because…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Nikolaos Stergioulas

We study pairs of finitely generated modules over a principal ideal domain and their corresponding matrix representations. We introduce equivalence relations for such pairs and determine invariants and canonical forms.

Commutative Algebra · Mathematics 2018-04-03 Pudji Astuti , Harald K. Wimmer

We give an introduction to the theory of cluster categories and cluster tilted algebras. We include some background on the theory of cluster algebras, and discuss the interplay with cluster categories and cluster tilted algebras.

Representation Theory · Mathematics 2010-12-30 Idun Reiten

The purpose of this paper is to continue studying the properties of $\gamma$-regular open sets introduced and explored in [6]. The concept of $\gamma$-closed spaces have also been defined and discussed.

General Topology · Mathematics 2013-11-19 Sabir Hussain

A relationship between nilpotency and primeness in a module is investigated. Reduced modules are expressed as sums of prime modules. It is shown that presence of nilpotent module elements inhibits a module from possessing good structural…

Rings and Algebras · Mathematics 2018-12-12 David Ssevviiri

This is a review article on mirror symmetry and aspects of it related to the theory of modular forms. We describe this topic along its historical development and connect to some more recent results toward the end. The article is for…

High Energy Physics - Theory · Physics 2018-04-04 Babak Haghighat

Torsion pairs in the category of finitely presented modules over a noetherian ring can be parametrised by the class of cosilting modules. In this paper, we characterise such modules in terms of their indecomposable summands, providing a new…

Representation Theory · Mathematics 2019-11-07 Karin Baur , Rosanna Laking