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Перегляд Algebra and Discrete Mathematics, 2021, Vol. 31, Vol. 32 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2021, Vol. 31, Vol. 32 за датою випуску

Сортувати за: Порядок: Результатів:

  • Mappings preserving sum of products a ◦ b + ba* on factor von Neumann algebras 
    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 ...
  • On extension of classical Baer results to Poisson algebras 
    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 ...
  • 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 ...
  • About the spectra of a real nonnegative matrix and its signings 
    Attas, K.; Boussaïri, A.; Zaidi, M. (Algebra and Discrete Mathematics, 2021)
    For a complex matrix M, we denote by Sp(M) the spectrum of M and by |M| its absolute value, that is the matrix obtained from M by replacing each entry of M by its absolute value. Let A be a nonnegative real matrix, we call ...
  • A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra 
    Choi, C.; Kim, S.; Seo, H. (Algebra and Discrete Mathematics, 2021)
    We first present a filtration on the ring Ln of Laurent polynomials such that the direct sum decomposition of its associated graded ring grLn agrees with the direct sum decomposition of grLn, as a module over the complex ...
  • Common neighborhood spectrum of commuting graphs of finite groups 
    Fasfous, W.N.T.; Sharafdini, R.; Nath, R.K. (Algebra and Discrete Mathematics, 2021)
    The commuting graph of a finite non-abelian group G with center Z(G), denoted by Гc(G), is a simple undirected graph whose vertex set is G\ Z(G), and two distinct vertices x and y are adjacent if and only if xy = yx. In ...
  • Isodual and self-dual codes from graphs 
    Mallik, S.; Yildiz, B. (Algebra and Discrete Mathematics, 2021)
    Binary linear codes are constructed from graphs, in particular, by the generator matrix [In|A] where A is the adjacency matrix of a graph on n vertices. A combinatorial interpretation of the minimum distance of such codes ...
  • Coarse structures on groups defined by conjugations 
    Protasov, I.; Protasova, K. (Algebra and Discrete Mathematics, 2021)
  • Skew PBW extensions over symmetric rings 
    Reyes, A.; Suárez, H. (Algebra and Discrete Mathematics, 2021)
    Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative ...
  • The structure of g-digroup actions and representation theory 
    Rodríguez-Nieto, J.G.; Salazar-Díaz, O.P.; Velásquez, R. (Algebra and Discrete Mathematics, 2021)
    The aim of this paper is to propose two possible ways of defining a g-digroup action and a first approximation to representation theory of g-digroups.
  • Diagonal torsion matrices associated with modular data 
    Singh, G. (Algebra and Discrete Mathematics, 2021)
    Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL₂(Z). Cuntz (2007) defined isomorphic integral modular data. Here we discuss ...
  • Cancellation ideals of a ring extension 
    Tchamna, S. (Algebra and Discrete Mathematics, 2021)
    We study properties of cancellation ideals of ring extensions. Let R ⊆ S be a ring extension. A nonzero S-regular ideal I of R is called a (quasi)-cancellation ideal of the ring extension R ⊆ S if whenever IB = IC for two ...
  • Free abelian trioids 
    Zhuchok, Yu.V. (Algebra and Discrete Mathematics, 2021)
    We construct a free abelian trioid and describe the least abelian congruence on a free trioid.
  • On the nilpotence of the prime radical in module categories 
    Arellano, C.; Castro, J.; Ríos, J. (Algebra and Discrete Mathematics, 2021)
    For M ∈ R-Mod and τ a hereditary torsion theory on the category σ[M] we use the concept of prime and semiprime module defined by Raggi et al. to introduce the concept of τ-pure prime radical Nτ (M) = Nτ as the intersection ...
  • On classifying the non-Tits P-critical posets 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 2021)
    In 2005, the authors described all introduced by them P-critical posets (minimal finite posets with the quadratic Tits form not being positive); up to isomorphism, their number is 132 (75 if duality is considered). Later ...
  • S-second submodules of a module 
    Farshadifar, F. (Algebra and Discrete Mathematics, 2021)
    Let R be a commutative ring with identity and let M be an R-module. The main purpose of this paper is to introduce and study the notion of S-second submodules of an R-module M as a generalization of second submodules of M.
  • On the character tables of symmetric groups 
    Kawsathon, K.; Rodtes, K. (Algebra and Discrete Mathematics, 2021)
    In this paper, some zeros and non-zeros in the character tables of symmetric groups are displayed in the partition forms. In particular, more zeros of self conjugate partitions beside odd permutations are heavily investigated.
  • Maximal subgroup growth of a few polycyclic groups 
    Kelley, A.; Wolfe, E. (Algebra and Discrete Mathematics, 2021)
    We give here the exact maximal subgroup growth of two classes of polycyclic groups. Let Gk = ⟨x1, x2, . . . , xk | xixjxi⁻¹ for all i < j⟩, so Gk = ℤ⋊(ℤ⋊(ℤ⋊• • •⋊ℤ)). Then for all integers k ≥ 2, we calculate mn(Gk), the ...
  • On the kernels of higher R-derivations of R[x1, ... xn] 
    Kour, S. (Algebra and Discrete Mathematics, 2021)
    Let R be an integral domain and A = R[x1, . . . , xn] be the polynomial ring in n variables. In this article, we study the kernel of higher R-derivation D of A. It is shown that if R is a HCF ring and tr. degR(Aᴰ) ≤ 1 then ...
  • On the structure of the algebra of derivations of cyclic Leibniz algebras 
    Kurdachenko, L.A.; Semko, M.M.; Yashchuk, V.S. (Algebra and Discrete Mathematics, 2021)
    We describe the algebra of derivation of finitedimensional cyclic Leibniz algebra.

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