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The R-module functors that are essential for the development of the theory of the linear representations of an affine R-group are the quasi-coherent R-modules and the R-module schemes. The aim of this paper is to study when a quasi-coherent…

Commutative Algebra · Mathematics 2011-11-10 Amelia Álvarez Sánchez , Carlos Sancho de Salas , Pedro Sancho de Salas

The connection between constraint languages and clone theory has been a fruitful line of research on the complexity of constraint satisfaction problems. In a recent result, Cohen et al. [SICOMP'13] have characterised a Galois connection…

Computational Complexity · Computer Science 2015-12-23 Johan Thapper , Stanislav Zivny

We establish sufficient conditions for the terminal cost and constraint such that economic model predictive control (MPC) is robustly recursively feasible and economically robust to small disturbances without any assumptions of…

Optimization and Control · Mathematics 2024-08-29 Robert D. McAllister

The cumulants of thermal variables are of general interest in physics due to their extensivity and their correspondence with susceptibilities. They become especially significant near critical points of phase transitions where they diverge…

Nuclear Theory · Physics 2015-09-07 Evan Sangaline

Composite likelihoods are a class of alternatives to the full likelihood which are widely used in many situations in which the likelihood itself is intractable. A composite likelihood may be computed without the need to specify the full…

Statistics Theory · Mathematics 2014-01-08 Helen Ogden

It is known that finite crossed modules provide premodular tensor categories. These categories are in fact modularizable. We construct the modularization and show that it is equivalent to the module category of a finite Drinfeld double.

Quantum Algebra · Mathematics 2012-05-15 Jennifer Maier , Christoph Schweigert

In this article, we construct integrally closed modules of rank two over a two-dimensional regular local ring. The modules are explicitly constructed from a given complete monomial ideal with respect to a regular system of parameters. Then…

Commutative Algebra · Mathematics 2018-09-24 Futoshi Hayasaka

Model Predictive Control (MPC) formulations are typically built on the requirement that a feasible reference trajectory is available. In practical settings, however, references that are infeasible with respect to the system dynamics are…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Ivo Batkovic , Mohammad Ali , Paolo Falcone , Mario Zanon

A variety of large-scale machine learning problems can be cast as instances of constrained submodular maximization. Existing approaches for distributed submodular maximization have a critical drawback: The capacity - number of instances…

Machine Learning · Statistics 2016-06-01 Mario Lucic , Olivier Bachem , Morteza Zadimoghaddam , Andreas Krause

This note offers an unusual approach of studying a class of modules inasmuch as it is investigating a subclass of the category of modules over a valuation domain. This class is far from being a full subcategory, it is not even a category.…

Commutative Algebra · Mathematics 2023-02-01 Peter Danchev , Laszlo Fuchs

In this paper we classify all the cyclic finite dimensional indecomposable\\ modules of the perfect Lie algebras $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$, given by the semidirect sum of the simple Lie algebra $A_n$ with its standard…

Representation Theory · Mathematics 2015-08-31 Paolo Casati

This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space $\mathbb{R}^{\mathbb{N}}$ and a bounded domain of…

Analysis of PDEs · Mathematics 2013-05-30 Yihang Hao , Xian-gao Liu

A finitely generated module $M$ over a commutative Noetherian ring $R$ is called an $I$-Cohen Macaulay module, if \[ \grade(I,M) + \dim(M/IM)= \dim(M), \] where $I$ is a proper ideal of $R$. The aim of this paper is to study the structure…

Commutative Algebra · Mathematics 2019-06-04 Waqas Mahmood , Maria Azam

A graded tensor category over a group $G$ will be called a strongly $G$-graded tensor category if every homogeneous component has at least one multiplicativily invertible object. Our main result is a description of the module categories…

Quantum Algebra · Mathematics 2014-02-26 César Galindo

Composite indicators are widely used to score or classify units evaluated on multiple criteria. Their construction typically involves aggregating criteria evaluations, a common practice in Multiple Criteria Decision Aiding (MCDA). Beyond…

Machine Learning · Computer Science 2026-03-04 Salvatore Corrente , Salvatore Greco , Roman Słowiński , Silvano Zappalà

Cell formation problem is among the first obstacles the designer of cellular production systems must overcome. This paper presents a critical analysis of the various criteria and constraints considered in the literature. The objective is to…

Computational Engineering, Finance, and Science · Computer Science 2020-07-23 Menouar Boulif , Karim Atif

This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems,…

Optimization and Control · Mathematics 2015-10-15 Mouhamadou Dath , Philippe Jouan

Sequential and terminal constraint feasibility of the model predictive control (MPC) play important roles in ensuring MPC control continuity. This study thus investigates these two properties theoretically using an MPC model for vehicle…

Optimization and Control · Mathematics 2022-06-24 Hanyu Zhang , Lili Du

In this paper, we will introduce the concept of classical (resp. strongly classical) 2-absorbing second submodules of modules over a commutative ring as a generalization of 2-absorbing (resp. strongly 2-absorbing) second submodules and…

Commutative Algebra · Mathematics 2019-04-09 H. Ansari-Toroghy , F. Farshadifar

This paper presents a comprehensive review of univariate process capability indices (PCIs), which are critical metrics for assessing how effectively a manufacturing process satisfies customer specifications based on a single quality…

Applications · Statistics 2026-04-20 Fei Jiang , Lei Yang