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Перегляд Algebra and Discrete Mathematics, 2021, Vol. 31, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2021, Vol. 31, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • The center of the wreath product of symmetric group algebras 
    Tout, O. (Algebra and Discrete Mathematics, 2021)
    We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product ...
  • Semisymmetric Zp-covers of the graph C20 
    Talebi, A.A.; Mehdipoor, N. (Algebra and Discrete Mathematics, 2021)
    A graph X is said to be G-semisymmetric if it is regular and there exists a subgroup G of A := Aut(X) acting transitively on its edge set but not on its vertex set. In the case of G = A, we call X a semisymmetric graph. ...
  • Semi-lattice of varieties of quasigroups with linearity 
    Sokhatsky, F.M.; Krainichuk, H.V.; Sydoruk, V.A. (Algebra and Discrete Mathematics, 2021)
    A σ-parastrophe of a class of quasigroups 𝕬 is a class σ𝕬 of all σ-parastrophes of quasigroups from 𝕬. A set of all pairwise parastrophic classes is called a parastrophic orbit or a truss. A parastrophically closed ...
  • Clean coalgebras and clean comodules of finitely generated projective modules 
    Puspita, N.P.; Wijayanti, I.E.; Surodjo, B. (Algebra and Discrete Mathematics, 2021)
    Let R be a commutative ring with multiplicative identity and P is a finitely generated projective R-module. If P* is the set of R-module homomorphism from P to R, then the tensor product P* ⊗R P can be considered as an ...
  • Infinite transitivity on the Calogero-Moser space C₂ 
    Kesten, J.; Mathers, S.; Normatov Z. (Algebra and Discrete Mathematics, 2021)
    We prove a particular case of the conjecture of Berest–Eshmatov–Eshmatov by showing that the group of unimodular automorphisms of C[x, y] acts in an infinitely-transitive way on the Calogero-Moser space C₂.
  • On (co)pure Baer injective modules 
    Hamid, M.F. (Algebra and Discrete Mathematics, 2021)
    For a given class of R-modules Q, a module M is called Q-copure Baer injective if any map from a Q-copure left ideal of R into M can be extended to a map from R into M. Depending on the class Q, this concept is both a ...
  • A new characterization of projective special linear groups L₃(q) 
    Ebrahimzadeh, B. (Algebra and Discrete Mathematics, 2021)
    In this paper, we prove that projective special linear groups L₃(q), where 0 < q = 5k ± 2 (k ∊ Z) and q² + q + 1 is a prime number can be uniquely determined by their order and the number of elements with same order.
  • Some properties of various graphs associated with finite groups 
    Chen, X.Y.; Moghaddamfar, A.R.; Zohourattar, M. (Algebra and Discrete Mathematics, 2021)
    In this paper we investigate some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it is shown that the simple group L₂(7) can be characterized ...
  • Groups containing locally maximal product-free sets of size 4 
    Anabanti, C.S. (Algebra and Discrete Mathematics, 2021)
    Every locally maximal product-free set S in a finite group G satisfies G = S ∪ SS ∪ S⁻¹S ∪ SS⁻¹ ∪ √S, where SS = {xy | x, y ∈ S}, S⁻¹S = {x⁻¹y | x, y ∈ S}, SS⁻¹ = {xy⁻¹ | x, y ∈ S} and √S = {x ∈ G | x² ∈ S}. To better ...

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