http://dspace.nbuv.gov.ua:80/handle/123456789/150328 2026-04-18T16:20:23Z 2026-04-18T16:20:23Z Kuznetsov, E. http://dspace.nbuv.gov.ua:80/handle/123456789/155728 2019-06-18T22:27:05Z 2003-01-01T00:00:00Z

Gyrogroups and left gyrogroups as transversals of a special kind Kuznetsov, E. In this article we study gyrogroups and left gyrogroups as transversals in some suitable groups to its subgroups. These objects were introduced into consideration in a connection with an investigation of analogies between symmetries in the classical mechanics and in the relativistic one. The author introduce some new notions into consideration (for example, a weak gyrotransversal) and give a full description of left gyrogroups (and gyrogroups) in terms of transversal identities. Also he generalize a construction of a diagonal transversal and obtain a set of new examples of left gyrogroups.

2003-01-01T00:00:00Z Kashu, A.I. http://dspace.nbuv.gov.ua:80/handle/123456789/155727 2019-06-17T22:25:56Z 2003-01-01T00:00:00Z

On equivalence of some subcategories of modules in Morita contexts Kashu, A.I.

2003-01-01T00:00:00Z Ustimenko, V.A. http://dspace.nbuv.gov.ua:80/handle/123456789/155704 2019-06-17T22:28:31Z 2003-01-01T00:00:00Z

On a group theoretical construction of expanding graphs Ustimenko, V.A.

2003-01-01T00:00:00Z Theohari-Apostolidi, Th. Vavatsoulas, H. http://dspace.nbuv.gov.ua:80/handle/123456789/155703 2019-06-17T22:25:55Z 2003-01-01T00:00:00Z

On the separability of the restriction functor Theohari-Apostolidi, Th.; Vavatsoulas, H. Let G be a group, Λ = L σ∈G Λσ a strongly graded ring by G, H a subgroup of G and ΛH = L σ∈H Λσ. We give a necessary and sufficient condition for the ring Λ/ΛH to be separable, generalizing the corresponding result for the ring extension Λ/Λ1. As a consequence of this result we give a condition for Λ to be a hereditary order in case Λ is a strongly graded by finite group R-order in a separable K-algebra, for R a Dedekind domain with quotient field K.

2003-01-01T00:00:00Z