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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • On certain semigroups of contraction mappings of a finite chain 
    Umar, A.; Zubairu, M.M. (Algebra and Discrete Mathematics, 2021)
    Let [n] = {1, 2, . . . , n} be a finite chain and let Pn (resp. , Tn) be the semigroup of partial transformations on [n] (resp. , full transformations on [n]). Let CPn = {α ∈ Pn : (for all x, y ∈ Dom α) |xα−yα| ≤ |x−y|} ...
  • 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 ...
  • 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 ...
  • 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 ...
  • On invariants of polynomial functions, II 
    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 ...
  • 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.
  • 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 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 the structure of some groups having finite contranormal subgroups 
    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 ...
  • 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.
  • 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 ...
  • 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. ...
  • 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 ...
  • Some commutativity criteria for 3-prime near-rings 
    Raji, A. (Algebra and Discrete Mathematics, 2021)
    In the present paper, we introduce the notion of *-generalized derivation in near-ring N and investigate some properties involving that of *-generalized derivation of a *-prime near-ring N which forces N to be a commutative ...
  • 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 ...
  • Spectra of locally matrix algebras 
    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 ...
  • 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.
  • Structure of relatively free trioids 
    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 ...
  • 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 ...
  • The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) 
    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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