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From the viewpoint of mutation, we will give a brief survey of tilting theory and cluster-tilting theory together with a motivation from cluster algebras. Then we will give an introdution to \tau-tilting theory which was recently developed…

Representation Theory · Mathematics 2015-06-18 Osamu Iyama , Idun Reiten

Characterizations of the star, minus and diamond orders of operators are given in various contexts and the relationship between these orders is made more transparent. Moreover, we introduce a new partial order of operators which provides a…

Functional Analysis · Mathematics 2022-07-06 M. Laura Arias , Alejandra Maestripieri

The concept of star-duality is described for self-similar cut-and-project tilings in arbitrary dimensions. This generalises Thurston's concept of a Galois-dual tiling. The dual tilings of the Penrose tilings as well as the Ammann-Beenker…

Metric Geometry · Mathematics 2007-05-23 Dirk Frettlöh

The different notions of matings of pairs of equal degree polynomials are introduced and are related to each other as well as known results on matings. The possible obstructions to matings are identified and related. Moreover the relations…

Dynamical Systems · Mathematics 2013-07-31 Carsten Lunde Petersen , Daniel Meyer

In this work we extend the concept of the Lipschitz saturation of an ideal defined in [5] to the context of modules in some different ways, and we prove they are generically equivalent.

Algebraic Geometry · Mathematics 2020-12-23 Terence Gaffney , Thiago F. da Silva

We describe rings over which every right module is almost injective. We give a description of rings over which every simple module is a almost projective.

Rings and Algebras · Mathematics 2020-09-16 A. N. Abyzov

In this paper we characterize the projective modules over an arbitrary quantale, and then we apply such a characterization in order to define the K_0 group of a quantale. Then we study congruences of quantales and quantale modules by means…

Logic · Mathematics 2017-06-20 Ciro Russo

In this paper, we give a approximation characterization, embedding properties and the duality of matrix weighted modulation spaces.

Functional Analysis · Mathematics 2024-08-29 Shengrong Wang , Pengfei Guo , Jingshi Xu

Let $R$ be a commutative noetherian ring. The $n$-semidualizing modules of $R$ are generalizations of its semidualizing modules. We will prove some basic properties of $n$-semidualizing modules. Our main result and example shows that the…

Commutative Algebra · Mathematics 2022-10-04 Tony Se

This is an overview of nuclear star cluster observations, covering their structure, stellar populations, kinematics and possible connection to black holes at the centers of galaxies.

Cosmology and Nongalactic Astrophysics · Physics 2012-11-09 Nadine Neumayer

Polarimetry remains a largely unexploited technique in observational X-ray astronomy which could provide insight in the study of the strong gravity and magnetic fields at the core of the Constellation-X observational program. Adding a…

Astrophysics · Physics 2007-05-23 K. Jahoda , K. Black , P. Deines-Jones , J. E. Hill , T. Kallman , T. Strohmayer , J. H. Swank

Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime (resp. M-semiprime) submodule of X such that in the case M=R, which coincides with prime (resp. semiprime) submodule of X. Other concepts encountered…

Rings and Algebras · Mathematics 2012-02-03 John A. Beachy , Mahmood Behboodi , Faezeh Yazdi

In this work we shortly review several aspects of the physics of neutron stars. After the introduction we present a brief historical overview of the idea of neutron stars as well as of the theoretical and observational developments that…

Nuclear Theory · Physics 2018-05-03 Isaac Vidana

We revisit the notion of flatness for semimodules over semirings. In particular, we introduce and study a new notion of uniformly flat semimodules based on the exactness of the tensor functor. We also investigate the relations between this…

Rings and Algebras · Mathematics 2012-01-04 Jawad Abuhlail

The reason, we need three terms of `strange', `bare', and `solid' before quark stars, is presented concisely though some fundamental issues are not certain. Observations favoring these stars are introduced.

Astrophysics · Physics 2007-05-23 R. X. Xu

We study the so-called closed and splitting subsemimodules and submodules of a given semimodule or module, respectively. We describe lattices of subsemimodules and of closed subsemimodules and posets of splitting subsemimodules and…

Rings and Algebras · Mathematics 2019-07-16 Ivan Chajda , Helmut Länger

This article provides a review of X-ray variability from late-type stars with particular focus on the achievements of XMM-Newton and its potential for future studies in this field.

Solar and Stellar Astrophysics · Physics 2017-05-10 B. Stelzer

Interaction with possible fallback material, along with the magnetic fields and rotation rates at birth should determine the fates and categories of young neutron stars. This paper addresses some issues related to pure or hybrid accretion…

Astrophysics · Physics 2007-05-23 M. Ali Alpar

In the present paper we demonstrate that there exists a new type of neutron stars in the tensor-multi-scalar theories of gravity. We call this new type of neutron stars topological neutron stars. In addition to the standard characteristics…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Daniela D. Doneva , Stoytcho S. Yazadjiev

R-modes of a rotating neutron star are unstable because of the emission of gravitational radiation. We explore the saturation amplitudes of these modes determined by nonlinear mode-mode coupling. Modelling the star as incompressible allows…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jeandrew Brink , Saul A. Teukolsky , Ira Wasserman
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