Results 11 to 20 of about 444,260 (331)

Logics of Finite Hankel Rank [PDF]

open access: yes, 2015
We discuss the Feferman-Vaught Theorem in the setting of abstract model theory for finite structures. We look at sum-like and product-like binary operations on finite structures and their Hankel matrices.
A Durand   +29 more
core   +3 more sources

Finite rank and pseudofinite groups [PDF]

open access: yesJournal of Group Theory, 2018
It is proven that an infinite finitely generated group cannot be elementarily equivalent to an ultraproduct of finite groups of a given Pr\"ufer rank.
Palacín, Daniel
core   +3 more sources

Systems of finite rank [PDF]

open access: bronzeColloquium Mathematicum, 1997
This paper contains a survey of a special class of examples of systems constructed in ergodic theory. Its aim is to gather definitions related to notions of rank, to describe the relations between them, and to show how these notions apply to some classical systems.
Sébastien Ferenczi
openalex   +3 more sources

On groups of finite rank

open access: yesPublicacions Matemàtiques, 2021
We study the structure of groups of finite (Prufer) rank in a very wide class of groups and also of central extensions of such groups. As a result we are able to improve, often substantially, on a number of known numerical bounds, in particular on bounds for the rank (resp.
openaire   +3 more sources

The BEL-rank of finite semifields [PDF]

open access: yesDesigns, Codes and Cryptography, 2016
In this article we introduce the notion of the BEL-rank of a finite semifield, prove that it is an invariant for the isotopism classes, and give geometric and algebraic interpretations of this new invariant. Moreover, we describe an efficient method for calculating the BEL-rank, and present computational results for all known small semifields.
LAVRAUW, MICHEL, SHEEKEY, JOHN FRANCIS
openaire   +4 more sources

Finiteness of rank for Grassmann convexity

open access: yesComptes Rendus. Mathématique, 2023
7 pages, no ...
Saldanha, Nicolau   +2 more
openaire   +3 more sources

Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians

open access: yesComplex Manifolds, 2015
In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Ermakova Svetlana
doaj   +1 more source

Finiteness results for subgroups of finite extensions [PDF]

open access: yes, 2014
We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subgroups within classes of groups such as virtually free groups, virtually ...
Araujo, Vitor   +2 more
core   +2 more sources

Degenerations of toric varieties over valuation rings [PDF]

open access: yes, 2016
We develop a theory of multi-stage degenerations of toric varieties over finite rank valuation rings, extending the Mumford--Gubler theory in rank one.
Foster, Tyler, Ranganathan, Dhruv
core   +1 more source

Surfaces of Finite Domain Rank [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
In this paper it is shown that a surface has finite domain rank if and only if it is homeomorphic to a domain of a compact or closed surface.
openaire   +3 more sources

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