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Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, Vol. 28 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, Vol. 28 за назвою

Сортувати за: Порядок: Результатів:

  • Additivity of elementary maps on alternative rings 
    Ferreira, B.L.M. (Algebra and Discrete Mathematics, 2019)
    Let ℜ and ℜ′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of ℜ × ℜ′. As a main theorem, we prove that if ℜ idempotent satisfying some conditions, these maps are additive.
  • Adjoint functors, preradicals and closure operators in module categories 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2019)
    In this article preradicals and closure operators are studied in an adjoint situation, defined by two covariant functors between the module categories R-Mod and S-Mod. The mappings which determine the relationship between ...
  • A family of doubly stochastic matrices involving Chebyshev polynomials 
    Ahmed, T.; Caballero, J.M.R. (Algebra and Discrete Mathematics, 2019)
    A doubly stochastic matrix is a square matrix A = (aij) of non-negative real numbers such that ∑i aij =∑j aij =1. The Chebyshev polynomial of the first kind is defined by the recurrence relation T₀ (x) = 1, T₁ (x) = x, and ...
  • A Ramsey algebraic study of matrices 
    Teoh, Z.Y.; Teh, W.C. (Algebra and Discrete Mathematics, 2019)
    The notion of a topological Ramsey space was introduced by Carlson some 30 years ago. Studying the topological Ramsey space of variable words, Carlson was able to derive many classical combinatorial results in a unifying ...
  • A simplified proof of the reduction point crossing sign formula for Verma modules 
    Denis, M.St.; Yee, W.L. (Algebra and Discrete Mathematics, 2019)
    The Unitary Dual Problem is one of the most important open problems in mathematics: classify the irreducible unitary representations of a group. That is, classify all irreducible representations admitting a definite invariant ...
  • Automorphism groups of superextensions of finite monogenic semigroups 
    Banakh, T.O.; Gavrylkiv, V.M. (Algebra and Discrete Mathematics, 2019)
    A family L of subsets of a set X is called linked if A ∩ B ≠ ∅ for any A,B ∈ L. A linked family M of subsets of X is maximal linked if M coincides with each linked family L on X that contains M. The superextension λ(X) ...
  • CI-property for the group (ℤp)² × ℤq × ℤr 
    Ali, E.; Hassoon, A. (Algebra and Discrete Mathematics, 2019)
    In this paper we prove that the group (ℤp)² × ℤq × ℤr is CI-group, where p, q, r are primes such that q and r divide p − 1, and r divides q − 1.
  • Classification of homogeneous Fourier matrices 
    Singh, G. (Algebra and Discrete Mathematics, 2019)
    Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL₂(Z). In this paper, we show that there is a one-to-one correspondence between ...
  • Cohen-Macaulay modules over the plane curve singularity of type T₃₆ 
    Drozd, Y.A.; Tovpyha, O. (Algebra and Discrete Mathematics, 2019)
    For a wide class of Cohen–Macaulay modules over the local ring of the plane curve singularity of type T₃₆ we describe explicitly the corresponding matrix factorizations. The calculations are based on the technique of matrix ...
  • Cohen-Macaulay modules over the plane curve singularity of type T₄₄, II 
    Drozd, Y.A.; Tovpuha, O.V. (Algebra and Discrete Mathematics, 2019)
    We accomplish the classification of Cohen–Macaulay modules over the curve singularities of type T₄₄ and the description of the corresponding matrix factorizations, started in [8].
  • Commutator subgroups of the power subgroups of generalized Hecke groups 
    Koruoğlu, Ö.; Meral, T.; Sahin, R. (Algebra and Discrete Mathematics, 2019)
    Let p, q ≥ 2 be relatively prime integers and let Hp,q be the generalized Hecke group associated to p and q. The generalized Hecke group Hp,q is generated by X(z) = −(z − λp)⁻¹ and Y (z) = −(z + λq)⁻¹ where λp = 2cos π/p ...
  • Conjugacy in finite state wreath powers of finite permutation groups 
    Oliynyk, A.; Russyev, A. (Algebra and Discrete Mathematics, 2019)
    It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.
  • Continuous limits of tilting modules 
    Braga, C.A. (Algebra and Discrete Mathematics, 2019)
    We provided a constructive argument to obtain an infinite generated tilting module from a family of tilting modules satisfying some hypotheses. We also applied the result over a hereditary algebra to get the Lukas tilting module.
  • Domination polynomial of clique cover product of graphs 
    Jahari, S.; Alikhani, S. (Algebra and Discrete Mathematics, 2019)
    We study the D-equivalence classes of some families of graphs and, in particular, describe completely the D-equivalence classes of friendship graphs constructed by coalescing n copies of a cycle graph of length 3 with a ...
  • Exact sequences of graphs 
    Abbasi, A.; Ramin, A. (Algebra and Discrete Mathematics, 2019)
    In this paper, exact sequences of graphs are defined and investigated. Considering some functors on the category of graphs, we study some conditions to determine exactness of functors.
  • Free ultra-groups, generators and relations 
    Tolue, B.; Zolfaghari, P.; Moghaddasi, Gh. (Algebra and Discrete Mathematics, 2019)
    In this paper, we intend to define an ultra-group by its presentation. The attitude of the presentation for a group was the key for us to investigate in this area. Instead of writing whole elements of an ultra-group, we ...
  • Generalized classes of suborbital graphs for the congruence subgroups of the modular group 
    Jaipong, P.; Tapanyo, W. (Algebra and Discrete Mathematics, 2019)
    Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the ...
  • Geometry of flocks and n-ary groups 
    Dog, S. (Algebra and Discrete Mathematics, 2019)
    Semiabelinan flocks and n-ary groups are characterized by the properties of parallelograms and vectors of the affine geometry defined by these flocks and n-ary groups.
  • Globalizations for partial (co)actions on coalgebras 
    Castro, F.; Quadros, G. (Algebra and Discrete Mathematics, 2019)
    In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We ...
  • Interassociativity and three-element doppelsemigroups 
    Gavrylkiv, V.; Rendziak, D. (Algebra and Discrete Mathematics, 2019)
    In the paper we characterize all interassociates of some non-inverse semigroups and describe up to isomorphism all three-element (strong) doppelsemigroups and their automorphism groups. We prove that there exist 75 pairwise ...

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