مرور Volume 6, Issue 2 بر اساس تاریخ انتشار

  • On the ranks of certain semigroups of order-preserving partial isometries of a finite chain 

    Ali, Bashir؛ Jada, Muhammad؛ Zubairu, Muhammad (University of Guilan, 2018-12-01)
    Let $X_n={1,2,ldots,n}$ be a finite chain, $mathcal{ODP}_{n}$ be the semigroup of order-preserving partial isometries on $X_n$ and $N$ be the set of all nilpotents in $mathcal{ODP}_{n}$. In this work, we study the nilpotents ...

  • Classical Zariski Topology on Prime Spectrum of Lattice Modules 

    Borkar, Vandeo؛ Girase, Pradip؛ Phadatare, Narayan (University of Guilan, 2018-12-01)
    Let $M$ be a lattice module over a  $C$-lattice $L$.  Let $Spec^{p}(M)$ be the collection of all prime elements of $M$. In this article, we consider a  topology on $Spec^{p}(M)$, called the classical Zariski topology and ...

  • Prime extension dimension of a module 

    T, Duraivel؛ S, Mangayarcarassy؛ K, Premkumar (University of Guilan, 2018-12-01)
    We have that for a finitely generated module $M$ over a Noetherian ring $A$ any two RPE filtrations of $M$ have same length. We call this length as prime extension dimension of $M$ and denote it as $mr{pe.d}_A(M)$. This ...

  • Some results on a subgraph of the intersection graph of ideals of a commutative ring 

    Visweswaran, Subramanian؛ Vadhel, Pravin (University of Guilan, 2018-12-01)
    The rings considered in this article are commutative with identity which admit at least one nonzero proper ideal.   Let $R$ be a ring. Let us denote  the collection  of all proper ideals  of $R$ by $mathbb{I}(R)$  and ...

  • Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/<X_1^rho_1,...,X_s^rho_s> 

    ANDRIAMIFIDISOA, Ramamonjy؛ LALASOA, Rufine؛ Rabeherimanana, Toussaint (University of Guilan, 2018-12-01)
    First, we apply the method presented by Zahra Sepasdar in the two-dimensional case to construct a basis of a three dimensional cyclic code. We then generalize this construction to a general $s$-dimensional cyclic code.

  • Quasi-bigraduations of Modules, criteria of generalized analytic independence 

    Diagana, Youssouf M. (University of Guilan, 2018-12-01)
    Let $mathcal{R}$ be a ring. For a quasi-bigraduation $f=I_{(p,q)}$of ${mathcal{R}} $ we define an $f^{+}-$quasi-bigraduation of an ${%mathcal{R}}$-module ${mathcal{M}}$ by a family $g=(G_{(m,n)})_{(m,n)inleft(mathbb{Z}times ...