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Перегляд Algebra and Discrete Mathematics, 2011, Vol. 11, Vol. 12 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2011, Vol. 11, Vol. 12 за датою випуску

Сортувати за: Порядок: Результатів:

  • Units of some group algebras of groups of order 12 over any finite field of characteristic 3 
    Gildea, J.; Monaghan, F. (Algebra and Discrete Mathematics, 2011)
    The structure of the unit groups of the group algebra of the groups D₁₂ and C₃⋊C₄ over any finite field of characteristic 3 is established.
  • Length of the inverse symmetric semigroup 
    Ganyushkin, O.; Livinsky, I. (Algebra and Discrete Mathematics, 2011)
    The length of the lattice of subsemigroups of the inverse symmetric semigroup ISn is calculated.
  • On the prime spectrum of top modules 
    Ansari-Toroghy, H.; Hassanzadeh-Lelekaami, D. (Algebra and Discrete Mathematics, 2011)
    In this paper we investigate some properties of top modules and consider some conditions under which the spectrum of a top module is a spectral space.
  • Graded limits of minimal affinizations and beyond: the multiplicity free case for type E₆ 
    Moura, A.; Pereira, F. (Algebra and Discrete Mathematics, 2011)
    e obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E₆. For certain values of their highest weight, these modules were conjectured to be isomorphic to ...
  • Partial actions and automata 
    Dokuchaev, M.; Novikov, B.; Zholtkevych, G. (Algebra and Discrete Mathematics, 2011)
    We use the notion of a partial action of a monoid to introduce a generalization of automata, which we call ``a preautomaton''. We study properties of preautomata and of languages recognized by preautomata.
  • Free normal dibands 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2011)
    We construct a free normal diband, a free (ℓn,n)-diband, a free (n,rn)-diband and a free (ℓn,rn)-diband. We also describe the structure of free normal dibands and characterize some least congruences on these dibands.
  • A generalization of supplemented modules 
    Inankil, H.; Halıcıoglu, S.; Harmanci, A. (Algebra and Discrete Mathematics, 2011)
    Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a class of modules which is an analogous of δ-supplemented modules defined by Kosan. The module M is called principally ...
  • On partial Galois Azumaya extensions 
    Paques, A.; Freitas, D. (Algebra and Discrete Mathematics, 2011)
    Let α be a globalizable partial action of a finite group G over a unital ring R, A=R⋆αG the corresponding partial skew group ring, Rα the subring of the α-invariant elements of R and α⋆ the partial inner action of G (induced ...
  • On Pseudo-valuation rings and their extensions 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2011)
    Let R be a commutative Noetherian Q-algebra (Q is the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. We define a δ-divided ring and prove the following: (1)If R is a pseudo-valuation ...
  • Some fixed point theorems for pseudo ordered sets 
    Parameshwara Bhatta, S.; George, S. (Algebra and Discrete Mathematics, 2011)
    In this paper, it is shown that for an isotone map f on a pseudo ordered set A, the set of all fixed points of f inherits the properties of A, namely, completeness, chain-completeness and weakly chain-completeness, as in ...
  • Characterization of finite simple semigroup digraphs 
    Meksawang, J.; Panma, S.; Knauer, U. (Algebra and Discrete Mathematics, 2011)
    This paper characterizes directed graphs which are Cayley graphs of finite simple semigroups, i.e. of a subspecies of completely regular semigroups. Moreover we investigate the structure of Cayley graphs of finite simple ...
  • On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point 
    Chuchman, I. (Algebra and Discrete Mathematics, 2011)
    In this paper we study the semigroup IC(I,[a]) (IO(I,[a])) of closed (open) connected partial homeomorphisms of the unit interval I with a fixed point a∈I. We describe left and right ideals of IC(I,[0]) and the Green's ...
  • Some related to pronormality subgroup families and the properties of a group 
    Kirichenko, V.V.; Kurdachenko, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2011)
    Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to ...
  • Fully invariant subgroups of an infinitely iterated wreath product 
    Leshchenko, Y.L. (Algebra and Discrete Mathematics, 2011)
    The article deals with the infinitely iterated wreath product of cyclic groups Cp of prime order p. We consider a generalized infinite wreath product as a direct limit of a sequence of finite nth wreath powers of Cp with ...
  • Partitions of groups into thin subsets 
    Protasov, I. (Algebra and Discrete Mathematics, 2011)
    Let G be an infinite group with the identity e, κ be an infinite cardinal ≤|G|. A subset A⊂G is called κ-thin if |gA∩A|≤κ for every g∈G∖{e}. We calculate the minimal cardinal μ(G,κ) such that G can be partitioned in μ(G,κ) ...
  • Norm Kloosterman sums over Z[i] 
    Savastru, O.; Varbanets, S. (Algebra and Discrete Mathematics, 2011)
    n-dimensional norm Kloosterman sums over the ring of the Gaussian numbers investigate. Nontrivial estimates of these sums were obtained.
  • Monic divisors of polynomial matrices over infinite field 
    Romaniv, A. (Algebra and Discrete Mathematics, 2011)
    The necessary and sufficient conditions of existence of monic divisors of a nonsingular polynomial matrix over an infinite field are established.
  • Generalized multiplicative bases for one-sided bimodule problems 
    Babych, V.; Golovashchuk, N.; Ovsienko, S. (Algebra and Discrete Mathematics, 2011)
    We consider a class of normal bimodule problems satisfying some structure, triangularity and finiteness conditions. For a bimodule problem from this class we construct explicitly an analogue of multiplicative basis which ...
  • Quasi-duo Partial skew polynomial rings 
    Cortes, W.; Ferrero, M.; Gobbi, L. (Algebra and Discrete Mathematics, 2011)
    In this paper we consider rings R with a partial action α of Z on R. We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this ...
  • H -supplemented modules with respect to a preradical 
    Yahya Talebi; A. R. Moniri Hamzekolaei; Derya Keskin Tutuncu (Algebra and Discrete Mathematics, 2011)
    Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every submodule A of M there exists a direct summand D of M such that (A+D)/D⊆τ(M/D) and (A+D)/A⊆τ(M/A). Let τ be a cohereditary preradical. ...

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