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We prove some semipositivity theorems for singular varieties coming from graded polarizable admissible variations of mixed Hodge structure. As an application, we obtain that the moduli functor of stable varieties is semipositive in the…

Algebraic Geometry · Mathematics 2018-02-13 Osamu Fujino

We define generalized Koszul modules and rings and develop a generalized Koszul theory for $\mathbb{N}$-graded rings with the degree zero part noetherian semiperfect. This theory specializes to the classical Koszul theory for graded rings…

Rings and Algebras · Mathematics 2022-11-14 Haonan Li , Quanshui Wu

The aim of this paper is to extend the structure theory for infinitely generated modules over tame hereditary algebras to the more general case of modules over concealed canonical algebras. Using tilting, we may assume that we deal with…

Representation Theory · Mathematics 2007-05-23 Idun Reiten , Claus Michael Ringel

In this article, we develop a generalization of finitary birepresentation theory applicable to Soergel bimodules for infinite Coxeter groups. We establish a reduction process for the classification of simple birepresentations of almost…

Representation Theory · Mathematics 2026-04-23 Marco Mackaay , Vanessa Miemietz , Pedro Vaz

We introduce a generalized notion of inference system to support more flexible interpretations of recursive definitions. Besides axioms and inference rules with the usual meaning, we allow also coaxioms, which are, intuitively, axioms which…

Logic in Computer Science · Computer Science 2023-06-22 Francesco Dagnino

The commutative and homological algebra of modules over posets is developed, as closely parallel as possible to the algebra of finitely generated modules over noetherian commutative rings, in the direction of finite presentations, primary…

Commutative Algebra · Mathematics 2020-08-13 Ezra Miller

We study infinite dimensional tilting modules over a concealed canonical algebra of domestic or tubular type. In the domestic case, such tilting modules are constructed by using the technique of universal localization, and they can be…

Representation Theory · Mathematics 2019-11-07 Lidia Angeleri Hügel , Dirk Kussin

Our aim is to transfer several foundational results from the modular representation theory of finite groups to the wider context of profinite groups. We are thus interested in profinite modules over the completed group algebra k[[G]] of a…

Representation Theory · Mathematics 2010-11-15 John MacQuarrie

We describe how some aspects of abstract localization on module categories have applications to the study of injective comodules over some special types of corings. We specialize the general results to the case of Doi-Koppinen modules,…

Rings and Algebras · Mathematics 2007-07-11 L. El Kaoutit , J. Gómez-Torrecillas

Since for the classification of finite (congruence-)simple semirings it remains to classify the additively idempotent semirings, we progress on the characterization of finite simple additively idempotent semirings as semirings of…

Rings and Algebras · Mathematics 2013-01-01 Andreas Kendziorra , Jens Zumbrägel

In this article, we prove that induced modules of support $\tau$-tilting modules over blocks of finite groups satisfying inertial-invariant condition are also support $\tau$-tilting modules.

Representation Theory · Mathematics 2022-12-06 Ryotaro Koshio

We introduce a generalization of tilting modules of finite projective dimension, projectively Wakamatsu tilting modules, which are self-orthogonal and Ext-progenerators in their Ext-perpendicular categories. Under a certain finiteness…

Representation Theory · Mathematics 2023-04-10 Haruhisa Enomoto

Recently an algebra of smooth valuations was attached to any smooth manifold. Roughly put, a smooth valuation is finitely additive measure on compact submanifolds with corners which satisfies some extra properties. In this note we initiate…

Metric Geometry · Mathematics 2011-04-06 Semyon Alesker

In this short note, we provide a calculation of the Euler characteristic of a finite homotopy colimit of finite cell complexes, which depends only on the Euler characteristics of each space and resembles Mobius inversion. Versions of the…

Algebraic Topology · Mathematics 2018-11-07 John D. Berman

This abstract presents (without proofs) some new results on commutativity degree of finite groups.

Group Theory · Mathematics 2010-09-29 Rajat Kanti Nath , Ashish Kumar Das

We study the coinduction functor on the category of FI-modules and its variants. Using the coinduction functor, we give new and simpler proofs of (generalizations of) various results on homological properties of FI-modules. We also prove…

Representation Theory · Mathematics 2016-04-14 Wee Liang Gan , Liping Li

In this paper we first survey some basic results in the cohomology of finite groups, and then discuss recent work on constructing free actions of finite groups on products of spheres.

Algebraic Topology · Mathematics 2007-05-23 Alejandro Adem

In studying the structure of derived categories of module categories of group algebras or their blocks, it is fundamental to classify support $\tau$-tilting modules. Koshio and Kozakai showed that the structure of support $\tau$-tilting…

Representation Theory · Mathematics 2023-11-29 Naoya Hiramae

In this letter we present some new results on modular theory and its application in quantum field theory. In doing this we develop some new proposals how to generalize concepts of geometrical action. Therefore the spirit of this letter is…

Mathematical Physics · Physics 2007-05-23 B. Schroer , H. -W. Wiesbock

We introduce the notion of a {\it mock tridiagonal system}. This is a generalization of a tridiagonal system in which the irreducibility assumption is replaced by a certain non-vanishing condition. We show how mock tridiagonal systems can…

Rings and Algebras · Mathematics 2008-07-29 Tatsuro Ito , Paul Terwilliger
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