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Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, Vol. 24 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, Vol. 24 за датою випуску

Сортувати за: Порядок: Результатів:

  • On the representation type of Jordan basic algebras 
    Kashuba, I.; Ovsienko, S.; Shestakov, I. (Algebra and Discrete Mathematics, 2017)
    A finite dimensional Jordan algebra J over a field k is called \textit{basic} if the quotient algebra J/RadJ is isomorphic to a direct sum of copies of k. We describe all basic Jordan algebras J with (RadJ)²=0 of finite ...
  • Dg algebras with enough idempotents, their dg modules and their derived categories 
    Saorín, M. (Algebra and Discrete Mathematics, 2017)
    We develop the theory dg algebras with enough idempotents and their dg modules and show their equivalence with that of small dg categories and their dg modules. We introduce the concept of dg adjunction and show that the ...
  • Igor Rostislavovich Shafarevich (03.06.1923 -- 19.02.2017) 
    Drozd, Yu.; Kirichenko, V.; Petravhuk, A.; Petrychkvych, V.; Shapochka, I.; Zabavskiy, B.; Zhuchok, A.; Varbanets, P. (Algebra and Discrete Mathematics, 2017)
    The great Russian mathematician Igor Rostislavovich Shafarevich died on February 19, 2017. This news grieved the whole mathematical society, since his name was inseparably linked to so many outstanding achievements and ...
  • Twin signed domination numbers in directed graphs 
    Atapour, M.; Norouzian, S.; Sheikholeslami, S.M.; Volkmann, L. (Algebra and Discrete Mathematics, 2017)
    Let D=(V,A) be a finite simple directed graph (shortly digraph). A function f:V⟶{−1,1} is called a twin signed dominating function (TSDF) if f(N⁻[v])≥1 and f(N⁺[v])≥1 for each vertex v∈V. The twin signed domination number ...
  • On representations of the group of order two over local factorial rings in the weakly modular case 
    Bondarenko, V.M.; Stoika, M. (Algebra and Discrete Mathematics, 2017)
    We study representations of the group of order 2 over local factorial rings of characteristic not 2 with residue field of characteristic 2. The main results are related to a sufficient condition of wildness of groups.
  • Flat extension and phantom homology 
    Bhattacharyya, R. (Algebra and Discrete Mathematics, 2017)
    Phantom homology arises in tight closure theory due to small non-exactness when `kernel' is not equal to `image' but `kernel' is in the tight closure of the `image'. In this paper we study a typical flat extension, which ...
  • Identities related to integer partitions and complete Bell polynomials 
    Mihoubi, M.; Belbachir, H. (Algebra and Discrete Mathematics, 2017)
    Using the (universal) Theorem for the integer partitions and the q-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions ...
  • A new way to construct 1-singular Gelfand-Tsetlin modules 
    Zadunaisky, P. (Algebra and Discrete Mathematics, 2017)
    We present a simplified way to construct the Gelfand-Tsetlin modules overgl(n,C) related to a 1-singular GT-tableau defined in [6]. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found ...
  • Sergiy Ovsienko (01.05.1953--25.01.2016) 
    Автор відсутній (Algebra and Discrete Mathematics, 2017)
    The famous Ukrainian mathematician Sergiy Ovsienko passed away on January 25, 2016. It was a sorrowful event and a grievous loss for the whole Ukrainian mathematical community, especially for those who knew him closely. ...
  • Representations of nodal algebras of type E 
    Drozd, Y.A.; Golovashchuk, N.S.; Zembyk, V.V. (Algebra and Discrete Mathematics, 2017)
    We define representation types of nodal algebras of type E.
  • Galois orders of symmetric differential operators 
    Futorny, V.; Schwarz, J. (Algebra and Discrete Mathematics, 2017)
    In this survey we discuss the theory of Galois rings and orders developed in ([20], [22]) by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras ([4]) ...
  • Equivalence of Carter diagrams 
    Stekolshchik, R. (Algebra and Discrete Mathematics, 2017)
    We introduce the equivalence relation ρ on the set of Carter diagrams and construct an explicit transformation of any Carter diagram containing l-cycles with l>4 to an equivalent Carter diagram containing only 4-cycles. ...
  • A criterion of elementary divisor domain for distributive domains 
    Bokhonko, V.; Zabavsky, B.V. (Algebra and Discrete Mathematics, 2017)
    In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
  • The R∞ property for Houghton's groups 
    Jang Hyun Jo; Jong Bum Lee; Sang Rae Lee (Algebra and Discrete Mathematics, 2017)
    We study twisted conjugacy classes of a family of groups which are called Houghton's groups Hn (n∈N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton's groups Hn have the R∞ ...
  • Vitaliy Sushchansky (11.11.1946 – 29.10.2016) 
    Автор відсутній (Algebra and Discrete Mathematics, 2017)
    Vitaliy Ivanovych Sushchansky was born on November 11, 1946 in Khodorkiv in Zhytomyr region west of Kyiv. He died half a month before his seventieth birthday on October 29, 2016 in Gliwice, Poland. He was an outstanding ...
  • Finite automaton actions of free products of groups 
    Fedorova, M.; Oliynyk, A. (Algebra and Discrete Mathematics, 2017)
    It is shown that for groups G and H that act faithfully by finite state automorphisms on regular rooted trees their free product G∗H admits a faithful action by finite state automorphisms on some regular rooted tree.
  • A survey article on some subgroup embeddings and local properties for soluble PST-groups 
    Beidleman, J.C. (Algebra and Discrete Mathematics, 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 ...
  • On unicyclic graphs of metric dimension 2 
    Dudenko, M.; Oliynyk, B. (Algebra and Discrete Mathematics, 2017)
    A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the ...
  • Some aspects of Leibniz algebra theory 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2017)
    One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is ...
  • A note on Hall S-permutably embedded subgroups of finite groups 
    Sinitsa, D. (Algebra and Discrete Mathematics, 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. ...

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