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  • Kanduru Venkata Krishna; Niladri Chatterjee (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    In this work first we study the properties of nearsemirings to introduce an -radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.
  • Zadunaisky, P. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    We present a simplified way to construct the Gelfand-Tsetlin modules over gl(n, C) related to a 1-singular GT- tableau defined in [6]. We begin by reframing the classical construc- tion of generic Gelfand-Tsetlin ...
  • Skiba, Alexander N. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some its subgroup D satisfying 1 <|D| < |P| and study the structure of G under assumption that all subgroups H of P with |H| = |D| are c-normal in G.
  • Sinitsa, D.A. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let G be a finite group. Recall that a subgroup A of G is said to permute with a subgroup B if AB = BA. A subgroup A of G is said to be S-quasinormal or S-permutable in G if A permutes with all Sylow subgroups of G. ...
  • Kehayopulu, N.; Ponizovskii, J.; Tsingelis, M. (Луганский национальный университет им. Т. Шевченко, 2002-12-06)
  • Zargeh, C. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, ...
  • Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.
  • Cırulis, Janis (Луганский национальный университет им. Т. Шевченко, 2003)
    The definition of a resolvent, introduced in the paper mentioned in the title, is simplified, and some misprints in that paper are corrected.
  • Lavrenyuk, Yaroslav V.; Sushchansky, Vitaly I. (Луганский национальный университет им. Т. Шевченко, 2005)
    The results on automorphisms of homogeneous alternating groups are corrected and improved.
  • Teoh, Z .Y.; Teh, W.C. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    The notion of a topological Ramsey space was introduced by Carlson some 30 years ago. Studying the topological Ramsey space of variable words, Carlson was able to derive many classical combinatorial results in a unifying ...
  • Zabka, M. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has ...
  • Beidleman, J. C. (2017)
    Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is ...
  • Mykytenko, V.; Chuprina, M.; Serhiienko, S. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2022)
    The authors have formed and substantiated the basic models of behavior of a plurality of business entities, presented in the form of combined conceptual and analytical model solutions, taking into account both a clear ...
  • Haider, A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let S = K[x1, x2, . . . , xn] be a standard graded K-algebra for any field K. Without using any heavy tools of com- mutative algebra we compute the Hilbert series of graded S-module S/I, where I is a monomial ideal.
  • Zhuchok, A.V.; Knauer, K. (ДЗ"ЛНУ імені Тараса Шевченко", 2018)
    A doppelsemigroup is an algebraic system consisting of a set with two binary associative operations satisfying certain identities. Doppelsemigroups are a generalization of semi-groups and they have relationships with such ...
  • Kurdachenko, L. A.; Subbotin, I. Ya. (Луганский национальный университет им. Т. Шевченко, 2005)
    Some properties of abnormal subgroups in generalized soluble groups are considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it is proven that a subgroup H of a radical ...
  • Коlоsоv, A. M. (Вид-во ДЗ "Луганський національний університет імені Тараса Шевченка", Інститут економіки промисловості НАН України, 2014)
    The article argues the notion of adaptive organization as the tool for management enterprises in variable environment. In an increasingly unstable market environment the need for decisive restructuring of enterprise ...
  • Shestakov, I. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Let R and R′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of R × R′ . As a main theorem, we prove that if R contains a non-trivial idempotent satisfying some conditions, ...
  • Sura, N. A. (ДЗ "Луганський національний університет" імені Тараса Шевченка, 2020)
    The article dwells upon modern English as a Second Language (ESL) educa-tional settings which are based on innovative technologies modernizing the gist of adult education in a foreign language and containing organizational ...
  • Bader, A. V. (ДЗ "ЛНУ імені Тараса Шевченка", 2020)
    The article analyzes the definitions of the concepts “aggression” and “genocide” as types of armed violence presented in Ukrainian and world political science. The definitions of these concepts reflected in international ...