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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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 ...
  • Derivations and relation modules for inverse semigroups 
    Gilbert, N.D. (Algebra and Discrete Mathematics, 2011)
    We define the derivation module for a homomorphism of inverse semigroups, generalizing a construction for groups due to Crowell. For a presentation map from a free inverse semigroup, we can then define its relation module ...
  • Diagonalizability theorem for matrices over certain domains 
    Zabavsky, B.; Domsha, O. (Algebra and Discrete Mathematics, 2011)
    It is proved that R is a commutative adequate domain, then R is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii.
  • Free field realizations of certain modules for affine Lie algebra slˆ(n,C) 
    Martins, R.A. (Algebra and Discrete Mathematics, 2011)
    For the affine Lie algebra slˆ(n,C) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These representations generalize a construction ...
  • 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.
  • Free rectangular dibands and free dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2011)
    We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least (rb,rz)-congruence, the least left zero and right zero congruence, the least rectangular ...
  • 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 ...
  • 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 ...
  • Generalized symmetric rings 
    Kafkas, G.; Ungor, B.; Halicioglu, S.; Harmanci, A. (Algebra and Discrete Mathematics, 2011)
    In this paper, we introduce a class of rings which is a generalization of symmetric rings. Let R be a ring with identity. A ring R is called central symmetric if for any a, b,c∈R, abc=0 implies bac belongs to the center ...
  • 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 ...
  • 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. ...
  • 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.
  • Minimax isomorphism algorithm and primitive posets 
    Bondarenko, V.M. (Algebra and Discrete Mathematics, 2011)
    The notion of minimax equivalence of posets, and a close notion of minimax isomorphism, introduced by the author are widely used in the study of quadratic Tits forms (in particular, for the description of P-critical ...
  • 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.
  • 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.
  • 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 ...
  • On filters and upper sets in CI-algebras 
    Piekart, B.; Walendziak, A. (Algebra and Discrete Mathematics, 2011)
    CI-algebras are a generalization of BE-algebras and dual BCK/BCI/BCH-algebras. In this paper filters of CI-algebras are considered. Given a subset of a CI-algebra, the least filter containing it is constructed. An equivalent ...
  • 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 partial skew Armendariz rings 
    Cortes, W. (Algebra and Discrete Mathematics, 2011)
    In this paper we consider rings R with a partial action α of an infinite cyclic group G on R. We introduce the concept of partial skew Armendariz rings and partial α-rigid rings. We show that partial α-rigid rings are ...

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