مرور Volume 3, Issue 1 بر اساس عنوان

  • ANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS 

    Baziar, M. (Shahrood University of Technology, 2015-09-01)
    In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. Weobserve that over a commutative ring $R$, $Bbb{AG}_*(_RM)$ isconnected ...

  • GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE 

    Afshin, H. R.؛ Bagheri, S.؛ Mehrjoofard, M. A. (Shahrood University of Technology, 2015-09-01)
    The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and ...

  • GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES 

    Naghipour, A.R. (Shahrood University of Technology, 2015-09-01)
    The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ...

  • HvMV-ALGEBRAS II 

    Bakhshi, M. (Shahrood University of Technology, 2015-09-01)
    In this paper, we continue our study on HvMV-algebras. The quotient structure of an HvMV-algebra by a suitable types of congruences is studied and some properties and related results are given. Some homomorphism theorems ...

  • AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS 

    Karimzadeh, S.؛ Nekooei, R. (Shahrood University of Technology, 2015-09-01)
    In this paper, we give a generalization of the integral dependence from rings to modules. We study the stability of the integral closure with respect to various module theoretic constructions. Moreover, we introduce the ...