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  • A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices” 
    Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.
  • A note to my paper “Multi-algebras from the viewpoint of algebraic logic” 
    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.
  • A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees” 
    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.
  • A Ramsey algebraic study of matrices 
    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 ...
  • A random Bockstein operator 
    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 ...
  • A survey article on some subgroup embeddings and local properties for soluble PST-groups 
    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 ...
  • A Systematic Approach to the Development of Basic Models of the Behavior of Business Entities and its Harmonization 
    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 ...
  • A way of computing the Hilbert series 
    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.
  • Abelian doppelsemigroups 
    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 ...
  • Abnormal subgroups and Carter subgroups in some infinite groups 
    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 ...
  • Acquaintance of preschool children with works of painting 
    Hrechyshkina, І. (2023)
    The article is devoted to the problem of familiarization of preschool children with works of art. It has been established that works of fine art directly influence the formation of the system of values and meanings in ...
  • Activity of Analytical Centers in the Field of Educational Policy 
    Zhelanova, V.; Kryzhanovska, V. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2024)
    The article substantiates the relevance and expediency of the activities of analytical centers in the field of educational policy in modern society. The research methodology, based on the principles of systemic, ...
  • Actualization of linguistic markers in political Internet discourse, and its peculiarities in the context of artificial neural network operation, and hate speech detection 
    Dovhan, О. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2024)
    The article argues that the actualization of linguistic markers (lexical, grammatical, pragmatic, semantic) in the texts of political Internet discourse is crucial for understanding the context (social, emotional, modal, ...
  • Adaptive Organization – Management Tool in Variable Environment 
    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 ...
  • Additivity of elementary maps on alternative rings B. L. M. Ferreira 
    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, ...
  • Adult Education in Foreign Languages: Interactive Settings, Models, Practice 
    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 ...
  • Aesthetic perception of colour in the process of colour training of future designers 
    Kostiuk, O. P. (ДЗ «Луганський національний університет імені Тараса Шевченка», 2023)
    The article examines the aspects of colour training of future designers, discusses the concept of colour competence and its importance in the process of professional training of future specialists in the field of design. ...
  • Aggression and genocide as a kind of armed violence: terminological analysis 
    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 ...
  • AI as a Mitigator of Information Asymmetry within Platform Strategiarchy Logic 
    Vyshnevskyi, O. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2024)
    This paper aims to describe role of AI, deployed on a platform of strategizing, functions as a third party to mitigate information asymmetry within the framework of signaling theory. The entire history of human development ...
  • Algebra and Discrete Mathematics - № 1 - 2002 
    Unknown author (Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, 2002)