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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:

  • 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 ...
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • Coarse structures on groups defined by conjugations 
    Protasov, I.; Protasova, K. (Algebra and Discrete Mathematics, 2021)
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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). ...
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 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 ...

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