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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:

  • Homotopy equivalence of normalized and unnormalized complexes, revisited 
    Lyubashenko, V.; Matsui, A. (Algebra and Discrete Mathematics, 2021)
    We consider the unnormalized and normalized complexes of a simplicial or a cosimplicial object coming from the DoldśKan correspondence for an idempotent complete additive category (kernels and cokernels are not required). ...
  • A study on dual square free modules 
    Medina-Bárcenas, M.; Keskin Tütüncü, D.; Kuratomi, Y. (Algebra and Discrete Mathematics, 2021)
    Let M be an H-supplemented coatomic module with FIEP. Then we prove that M is dual square free if and only if every maximal submodule ofM is fully invariant. Let M = ⊕ i∈I Mi be a direct sum, such that M is coatomic. Then ...
  • 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 ...
  • 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 ...
  • Morita equivalence of semirings with local units 
    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.
  • 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 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 ...
  • Injective stabilization of additive functors, III. Asymptotic stabilization of the tensor product 
    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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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.
  • 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 ...
  • 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. ...
  • 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 ...
  • 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|} ...

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