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We introduce a general definition of almost $p$-summing mappings and give several concrete examples of such mappings. Some known results are considerably generalized and we present various situations in which the space of almost $p$-summing…

Functional Analysis · Mathematics 2007-05-23 Daniel M. Pellegrino

We study functions defined on a closed segment of the real line that belong to the class of Gonchar. We show that the graphs of such functions are pluripolar. We also discuss the generalizations of our result to functions defined on a…

Complex Variables · Mathematics 2009-10-30 Sevdiyor Imomkulov , Zafar Ibragimov

Words are sequences of letters over a finite alphabet. We study two intimately related topics for this object: quasi-randomness and limit theory. With respect to the first topic we investigate the notion of uniform distribution of letters…

Combinatorics · Mathematics 2021-09-01 Hiêp Hàn , Marcos Kiwi , Matías Pavez-Signé

We describe the structure of finite Boolean inverse monoids and apply our results to the representation theory of finite inverse semigroups. We then generalize to semisimple Boolean inverse semigroups.

Category Theory · Mathematics 2021-02-26 Mark V. Lawson

We develop the theory of quasi-$F^e$-splittings, quasi-$F$-regularity, and quasi-$+$-regularity.

Algebraic Geometry · Mathematics 2024-04-11 Hiromu Tanaka , Jakub Witaszek , Fuetaro Yobuko

We call positive integer n a near-perfect number, if it is sum of all its proper divisors, except of one of them ("redundant divisor"). We prove an Euclid-like theorem for near-perfect numbers and obtain some other results for them.

Number Theory · Mathematics 2012-02-20 Vladimir Shevelev

Quasifolds are singular spaces that generalize manifolds and orbifolds. They are locally modeled by manifolds modulo the smooth action of countable groups and they are typically not Hausdorff. If the countable groups happen to be all…

Differential Geometry · Mathematics 2025-05-13 Elisa Prato

It is shown that the duals of several categories of topological flavour, like the categories of ordered sets, generalised metric spaces, probabilistic metric spaces, topological spaces, approach spaces, are quasivarieties, presenting a…

Category Theory · Mathematics 2024-04-09 Maria Manuel Clementino , Carlos Fitas , Dirk Hofmann

Fix a smooth projective curve over a field of characteristic zero and a finite set of punctures. Let G be a connected linear algebraic group. We prove that the moduli of G-bundles with logarithmic connections having fixed residue classes at…

Algebraic Geometry · Mathematics 2023-01-20 Andres Fernandez Herrero

The notion of quasi-unit has been introduced by Yosida in unital Riesz spaces. Later on, a fruitful potential theoretic generalization was obtained by Arsove and Leutwiler. Due to the work of Eriksson and Leutwiler, this notion also turned…

Functional Analysis · Mathematics 2018-01-03 Zsigmond Tarcsay , Tamás Titkos

An extension of the empirical copula is considered by combining an estimator of a multivariate cumulative distribution function with estimators of the marginal cumulative distribution functions for marginal estimators that are not…

Methodology · Statistics 2014-12-01 Johan Segers

This paper describes infinite sets of polynomial equations in infinitely many variables with the property that the existence of a solution or even an approximate solution for every finite subset of the equations implies the existence of a…

Functional Analysis · Mathematics 2025-03-03 Melvyn B. Nathanson , David A. Ross

A (positive definite and integral) quadratic form is said to be $\textit{prime-universal}$ if it represents all primes. Recently, Doyle and Williams in [2] classified all prime-universal diagonal ternary quadratic forms, and all…

Number Theory · Mathematics 2020-06-29 Jangwon Ju , Daejun Kim , Kyoungmin Kim , Mingyu Kim , Byeong-Kweon Oh

A closed subscheme of codimension two $T \subset P^2$ is a quasi complete intersection (q.c.i.) of type $(a,b,c)$ if there exists a surjective morphism $\mathcal{O} (-a) \oplus \mathcal{O} (-b) \oplus \mathcal{O} (-c) \to \mathcal{I} _T$.…

Algebraic Geometry · Mathematics 2019-01-04 Philippe Ellia

Nested Archimedean copulas recently gained interest since they generalize the well-known class of Archimedean copulas to allow for partial asymmetry. Sampling algorithms and strategies have been well investigated for nested Archimedean…

Statistics Theory · Mathematics 2012-10-30 Marius Hofert , David Pham

We prove that the Lyapunov exponents of typical fiber bunched linear cocycles over Lorenz-like flows have multiplicity one: the set of exceptional cocycles has infinite codimention, i.e. it is locally contained in finite unions of closed…

Dynamical Systems · Mathematics 2012-08-29 Mohammad Fanaee

In this paper we study the center algebras of multilinear forms. It is shown that the center of a nondegenerate multilinear form is a finite dimensional commutative algebra and can be effectively applied to its direct sum decompositions. As…

Rings and Algebras · Mathematics 2021-10-18 Hua-Lin Huang , Huajun Lu , Yu Ye , Chi Zhang

Let $\mathcal{C}_a$ denote the class of associative copulas, and let $\overline{\mathcal{C}}_a$ be the closure, in the uniform metric $d_\infty$, of the convex hull of $\mathcal{C}_a$ . It is known that $\mathcal{C}_a \subseteq…

Statistics Theory · Mathematics 2026-05-13 Manuel Úbeda-Flores

We describe the groups that have the same holomorph as a finite perfect group. Our results are complete for centerless groups. When the center is non-trivial, some questions remain open. The peculiarities of the general case are illustrated…

Group Theory · Mathematics 2019-01-09 A. Caranti , F. Dalla Volta

In this note we prove an abstract version of a result from 2002 due to Delgado and Pi\~{n}ero on absolutely summing operators. Several applications are presented; some of them in the multilinear framework and some in a completely nonlinear…

Functional Analysis · Mathematics 2015-10-01 Daniel Pellegrino , Joedson Santos