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Alcôves et p -rang des variétés abéliennes

Bao Chau Ngô, Alain Genestier (2002)

Annales de l’institut Fourier

On étudie la relation entre le p -rang des variétés abéliennes en caractéristique p et la stratification de Kottwitz-Rapoport de la fibre spéciale en p de l’espace de module des variétés abéliennes principalement polarisées avec structure de niveau de type Iwahori en p . En particulier, on démontre la densité du lieu ordinaire dans cette fibre spéciale.

Algebraic analysis in structures with the Kaplansky-Jacobson property

D. Przeworska-Rolewicz (2005)

Studia Mathematica

In 1950 N. Jacobson proved that if u is an element of a ring with unit such that u has more than one right inverse, then it has infinitely many right inverses. He also mentioned that I. Kaplansky proved this in another way. Recently, K. P. Shum and Y. Q. Gao gave a new (non-constructive) proof of the Kaplansky-Jacobson theorem for monoids admitting a ring structure. We generalize that theorem to monoids without any ring structure and we show the consequences of the generalized Kaplansky-Jacobson...

Algebraic and graph-theoretic properties of infinite n -posets

Zoltán Ésik, Zoltán L. Németh (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

A Σ -labeled n -poset is an (at most) countable set, labeled in the set Σ , equipped with n partial orders. The collection of all Σ -labeled n -posets is naturally equipped with n binary product operations and n ω -ary product operations. Moreover, the ω -ary product operations give rise to n ...

Algebraic and graph-theoretic properties of infinite n-posets

Zoltán Ésik, Zoltán L. Németh (2010)

RAIRO - Theoretical Informatics and Applications

A Σ-labeled n-poset is an (at most) countable set, labeled in the set Σ, equipped with n partial orders. The collection of all Σ-labeled n-posets is naturally equipped with n binary product operations and nω-ary product operations. Moreover, the ω-ary product operations give rise to nω-power operations. We show that those Σ-labeled n-posets that can be generated from the singletons by the binary and ω-ary product operations form the free algebra on Σ in a variety axiomatizable by an infinite collection...

Algebraic approach to locally finite trees with one end

Bohdan Zelinka (2003)

Mathematica Bohemica

Let T be an infinite locally finite tree. We say that T has exactly one end, if in T any two one-way infinite paths have a common rest (infinite subpath). The paper describes the structure of such trees and tries to formalize it by algebraic means, namely by means of acyclic monounary algebras or tree semilattices. In these algebraic structures the homomorpisms and direct products are considered and investigated with the aim of showing, whether they give algebras with the required properties. At...

Algebraic aspects of web geometry

Maks A. Akivis, Vladislav V. Goldberg (2000)

Commentationes Mathematicae Universitatis Carolinae

Algebraic aspects of web geometry, namely its connections with the quasigroup and loop theory, the theory of local differential quasigroups and loops, and the theory of local algebras are discussed.

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