http://dspace.nbuv.gov.ua:80/handle/123456789/150378 2026-04-18T14:18:26Z http://dspace.nbuv.gov.ua:80/handle/123456789/158465 Leonid Aleksandrovich Shemetkov Ukrainian algebraists with keen sorrow have learned about the death of our colleague, a prominent algebraist and a tremendously efficient science manager of the Republic of Belarus Leonid Aleksandrovich Shemetkov. Leonid A. Shemetkov's entire life was devoted to research and teaching. He was one of the founders of Gomel Algebra School which he had headed for 40 years. For many years, he worked as the President of Francisk Skorina Gomel State University. His excellent achievements were highly praised by his colleagues and the Government: He was elected a Corresponding Member of the National Academy of Sciences of Belarus and he was awarded with the honored title of Distinguished Scientist of Belarus. 2013-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/152301 Representations of nodal algebras of type A Drozd, Yu.; Zembyk, V. We define nodal finite dimensional algebras and describe their structure over an algebraically closed field. For a special class of such algebras (type A) we find a criterion of tameness. 2013-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/152300 On maximal and minimal linear matching property Aliabadi, M.; Darafsheh, M.R. The matching basis in field extentions is introduced by S. Eliahou and C. Lecouvey in [2]. In this paper we define the minimal and maximal linear matching property for field extensions and prove that if K is not algebraically closed, then K has minimal linear matching property. In this paper we will prove that algebraic number fields have maximal linear matching property. We also give a shorter proof of a result established in [6] on the fundamental theorem of algebra. 2013-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/152299 On Baer-Shemetkov’s decomposition in modules and related topics Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. In this article, we traced the influence of L.A. Shemetkov's ideas on some areas of modules theory and infinite groups theory. 2013-01-01T00:00:00Z