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Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, № 1 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, № 1 за назвою

Сортувати за: Порядок: Результатів:

  • 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.
  • 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 ...
  • 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 ...
  • 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. ...
  • 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]) ...
  • 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 ...
  • 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.
  • 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 ...
  • 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.
  • 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. ...

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