Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Sergey Victor Ludkowski"'
Autor:
Sergey Victor Ludkowski
Publikováno v:
Mathematics, Vol 12, Iss 4, p 511 (2024)
In this article, a structure of topological metagroups is scrutinized. Their inverse spectra are studied. This also permits us to construct abundant families of topological metagroups and quasigroups. Specific features of the topological quasigroups
Externí odkaz:
https://doaj.org/article/294da5d6370f445b943d8ec6ca8f59cb
Autor:
Sergey Victor Ludkowski
Publikováno v:
Mathematics, Vol 11, Iss 7, p 1714 (2023)
The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials
Externí odkaz:
https://doaj.org/article/72d19c1f31bc4567a48454eb3845d683
Autor:
Sergey Victor Ludkowski
Publikováno v:
Axioms, Vol 12, Iss 3, p 240 (2023)
In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied. As a too
Externí odkaz:
https://doaj.org/article/0bcb0edfbf0748cbb730a30a33301903
Autor:
Sergey Victor Ludkowski
Publikováno v:
Inventions, Vol 7, Iss 4, p 102 (2022)
This article is devoted to study of vector functions in Banach algebras and Banach spaces over normed fields. A structure of their Banach algebras is investigated. Banach algebras of vector functions with values in ∗-algebras, finely regular algebr
Externí odkaz:
https://doaj.org/article/1199365dab224be9976a9f66f683b736
Autor:
Sergey Victor Ludkowski
Publikováno v:
Symmetry, Vol 14, Iss 10, p 2049 (2022)
The article is devoted to the noncommutative integration of a diffusion partial differential equation (PDE). Its generalizations are also studied. This is motivated by the fact that many existing approaches for solutions of PDEs are based on evolutio
Externí odkaz:
https://doaj.org/article/7953daafc7924210a192f83a1c4fad47
Autor:
Sergey Victor Ludkowski
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1169 (2022)
The article is devoted to non-associative algebras with metagroup relations and modules over them. Their functors are studied. Satellites of functors are scrutinized. An exactness of satellite sequences and diagrams is investigated.
Externí odkaz:
https://doaj.org/article/8f9018442bb641078a4b50236482fecb
Autor:
Sergey Victor Ludkowski
Publikováno v:
Axioms, Vol 11, Iss 3, p 131 (2022)
A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions
Externí odkaz:
https://doaj.org/article/76a1d1935c384c199c28bde3caa1eb5c
Autor:
Sergey Victor Ludkowski
Publikováno v:
Axioms, Vol 10, Iss 4, p 319 (2021)
The article is devoted to homological complexes and modules over nonassociative algebras with metagroup relations. Smashed tensor products of them are studied. Their torsions and homomorphisms are investigated.
Externí odkaz:
https://doaj.org/article/2d4c0dad96384f959fab482333c7b6a4
Autor:
Sergey Victor Ludkowski
Publikováno v:
Inventions, Vol 6, Iss 4, p 92 (2021)
This article is devoted to the investigation of infinite B*-matrices and linear operators over normed fields. Their structure is studied in the paper. Ideals and centers of the corresponding to them B*-algebras are scrutinized.
Externí odkaz:
https://doaj.org/article/b316b21c8c16458b837ad3bb4dcc084a
Autor:
Sergey Victor Ludkowski
Publikováno v:
Mathematics, Vol 9, Iss 7, p 734 (2021)
The article is devoted to homological complexes. Smashly graded modules and complexes are studied over nonassociative algebras with metagroup relations. Smashed tensor products of homological complexes are investigated. Their homotopisms and homologi
Externí odkaz:
https://doaj.org/article/d04db2c1f3364264be5b19772d23849e