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Displaying 661 –
680 of
987
The concept of the affine regular icosahedron and affine regular octahedron in a general GS-quasigroup will be introduced in this paper. The theorem of the unique determination of the affine regular icosahedron by means of its four vertices which satisfy certain conditions will be proved. The connection between affine regular icosahedron and affine regular octahedron in a general GS-quasigroup will be researched. The geometrical representation of the introduced concepts and relations between them...
On étudie la relation entre le -rang des variétés abéliennes en caractéristique et
la stratification de Kottwitz-Rapoport de la fibre spéciale en de l’espace de module
des variétés abéliennes principalement polarisées avec structure de niveau de type
Iwahori en . En particulier, on démontre la densité du lieu ordinaire dans cette fibre
spéciale.
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...
A -labeled -poset is an (at most) countable set, labeled in the set , equipped with partial orders. The collection of all -labeled -posets is naturally equipped with binary product operations and -ary product operations. Moreover, the -ary product operations give rise to
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...
Let be an infinite locally finite tree. We say that has exactly one end, if in 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, 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.
Currently displaying 661 –
680 of
987