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Given a non-necessarily commutative unital ring $R$ and a unital partial representation $\Theta $ of a group $G$ into the Picard semigroup $\mathbf{PicS} (R)$ of the isomorphism classes of partially invertible $R$-bimodules, we construct an…

Rings and Algebras · Mathematics 2022-11-08 Mikhailo Dokuchaev , Itailma Rocha

It is well known that the product of two independent regularly varying random variables with the same tail index is again regularly varying with this index. In this paper, we provide sharp sufficient conditions for the regular variation…

Probability · Mathematics 2019-03-27 Piotr Dyszewski , Thomas Mikosch

Cross-modal coherence modeling is essential for intelligent systems to help them organize and structure information, thereby understanding and creating content of the physical world coherently like human-beings. Previous work on cross-modal…

Multimedia · Computer Science 2024-08-02 Yi Bin , Junrong Liao , Yujuan Ding , Haoxuan Li , Yang Yang , See-Kiong Ng , Heng Tao Shen

In this paper the concept of compatible weak factorization systems in general categories is introduced as a counterpart of compatible complete cotorsion pairs in abelian categories. We describe a method to construct model structures on…

Category Theory · Mathematics 2024-10-02 Zhenxing Di , Liping Li , Li Liang

Let $R$ be an iterable weak coarse premouse and let $N$ be a premouse with Mitchell-Steel indexing, produced by a fully backgrounded $L[\mathbb{E}]$-construction of $R$. We identify and correct a problem with the process of resurrection…

Logic · Mathematics 2018-11-13 Farmer Schlutzenberg

Let $\mathcal{S}$ be a sequence of finite perfect transitive permutation groups with uniformly bounded number of generators. We prove that the infinitely iterated wreath product in product action of the groups in $\mathcal{S}$ is…

Group Theory · Mathematics 2016-03-18 Matteo Vannacci

The weak commutativity group $\chi(G)$ is generated by two isomorphic groups $G$ and $G^{\varphi }$ subject to the relations $[g,g^{\varphi}]=1$ for all $g \in G$. We obtain new expressions for the terms of the derived series and the lower…

Group Theory · Mathematics 2025-06-17 Guilherme Ortega , Raimundo Bastos , Ricardo de Oliveira

Weak superimposed codes are combinatorial structures related closely to generalized cover-free families, superimposed codes, and disjunct matrices in that they are only required to satisfy similar but less stringent conditions. This class…

Information Theory · Computer Science 2024-09-17 Yu Tsunoda , Yuichiro Fujiwara

In this paper, we introduce a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of generalized hybrid mappings in a Hilbert space. Our results…

Functional Analysis · Mathematics 2014-10-21 Sattar Alizadeh , Fridoun Moradlou

We obtain a faithful representation of the twisted tensor product $B\otimes_{\chi} A$ of unital associative algebras, when $B$ is finite dimensional. This generalizes the representations of [C] where $B=K[X]/<X^2-X>$, [GGV] where…

Rings and Algebras · Mathematics 2015-05-07 Jack Arce

Recently, Malik and Ferreyra introduced the $m$-weak core inverse for complex square matrices which generalizes the core-EP inverse, the WC inverse, and therefore the core inverse. The main aim of this paper is to extend the concept of…

Rings and Algebras · Mathematics 2024-03-22 D. E. Ferreyra , D. Mosic

We define a weak compatibility condition for the Newest Vertex Bisection algorithm on simplex grids of any dimension and show that using this condition the iterative algorithm terminates successfully. Additionally we provide an O(n)…

Numerical Analysis · Mathematics 2017-11-10 Martin Alkämper , Fernando Gaspoz , Robert Klöfkorn

The question of recurrence and transience of branching Markov chains is more subtle than for ordinary Markov chains; they can be classified in transience, weak recurrence, and strong recurrence. We review criteria for transience and weak…

Probability · Mathematics 2008-11-12 Sebastian Müller

We consider crossed product von Neumann algebras arising from free Bogoljubov actions of the integers. We describe several presentations of them as amalgamated free products and cocycle crossed products and give a criterion for…

Operator Algebras · Mathematics 2012-12-14 Sven Raum

We establish a generic weak uniqueness result and partial regularity of the free boundary and of minimizers for the composite membrane problem.

Analysis of PDEs · Mathematics 2007-05-23 Sagun Chanillo , Carlos E. Kenig

We provide a unified treatment of several commuting tensor products considered in the literature, including the tensor product of enriched categories and the Boardman-Vogt tensor product of operads and symmetric multicategories, subsuming…

Category Theory · Mathematics 2025-11-19 Nicola Gambino , Richard Garner , Christina Vasilakopoulou

Let $G_1$ and $G_2$ be torsion groups. We prove that the monoids of product-one sequences over $G_1$ and over $G_2$ are isomorphic if and only if the groups $G_1$ and $G_2$ are isomorphic. This was known before for abelian groups.

Commutative Algebra · Mathematics 2025-02-18 Alfred Geroldinger , Jun Seok Oh

We explore the concept of a consistent exchangeable survival process - a joint distribution of survival times in which the risk set evolves as a continuous-time Markov process with homogeneous transition rates. We show a correspondence with…

Statistics Theory · Mathematics 2015-08-10 Walter Dempsey , Peter McCullagh

The cocycle bicrossed product construction allows certain freedom in producing examples of locally compact quantum groups. We give an overview of some recent examples of this kind having remarkable properties.

Quantum Algebra · Mathematics 2007-05-23 Leonid Vainerman

We introduce a semi-explicit time-stepping scheme of second order for linear poroelasticity satisfying a weak coupling condition. Here, semi-explicit means that the system, which needs to be solved in each step, decouples and hence improves…

Numerical Analysis · Mathematics 2023-11-08 R. Altmann , R. Maier , B. Unger
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