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Перегляд Algebra and Discrete Mathematics, 2021, Vol. 31, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2021, Vol. 31, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Zhuchok, A.V. (Algebra and Discrete Mathematics, 2021)
    Loday and Ronco introduced the notions of a trioid and a trialgebra, and constructed the free trioid of rank 1 and the free trialgebra. This paper is a survey of recent developments in the study of free objects in the ...
  • Martsinkovsky, A.; Russell, J. (Algebra and Discrete Mathematics, 2021)
    The injective stabilization of the tensor product is subjected to an iterative procedure that utilizes its bifunctor property. The limit of this procedure, called the asymptotic stabilization of the tensor product, provides ...
  • Kurdachenko, L.A.; Semko, N.N. (Algebra and Discrete Mathematics, 2021)
    Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent ...
  • Kurdachenko, L.A.; Pypka, A.A.; Subbotin I.Ya. (Algebra and Discrete Mathematics, 2021)
    In this paper we prove that if P is a Poisson algebra and the n-th hypercenter (center) of P has a finite codimension, then P includes a finite-dimensional ideal K such that P/K is nilpotent (abelian). As a corollary, we ...
  • Fukuma, Y. (Algebra and Discrete Mathematics, 2021)
    Let P be a finite partially ordered set. In our previous paper, we defined the sectional geometric genus gᵢ(P) of P and studied gᵢ(P). In this paper, by using this sectional geometric genus of P, we will give a criterion ...
  • Ferreira, J.C.M.; Marietto, M.G.B. (Algebra and Discrete Mathematics, 2021)
    In this paper, we proved that a bijective mapping Φ : A → B satisfies Φ(a ◦ b + baΦ) = Φ(a) ◦ Φ(b) + Φ(b)Φ(a)* (where ◦ is the special Jordan product on A and B, respectively), for all elements a, b ∈ A, if and only if Φ ...
  • Das, M.; Gupta, S.; Sardar, S.K. (Algebra and Discrete Mathematics, 2021)
    In this paper we study some necessary and sufficient conditions for two semirings with local units to be Morita equivalent. Then we obtain some properties which remain invariant under Morita equivalence.
  • Bezushchak, O. (Algebra and Discrete Mathematics, 2021)
    We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier–Baranov ...
  • Bavula, V.; Lu, T. (Algebra and Discrete Mathematics, 2021)
    For the algebras in the title, their prime, primitive and maximal spectra are explicitly described. For each prime ideal an explicit set of generators is given. An explicit description of all the containments between primes ...

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