A right Johns ring is a Noetherian in which every ideal annihilator. It known that RR the Jacobson radical J(R)J(R) of nilpotent and Soc(R)(R) an essential RR. Moreover, Kasch, is, simple RR-module can be embedded For M∈RM∈R-Mod we use concept MM-annihilator define module (resp. quasi-Johns) as MM such submodule MM-annihilator. called quasi-Johns if any set submodules satisfies ascending chain ...

5-((4-alkoxyphenyl)azo)salicyladehyde, 5-((4-alkoxyphenyl)azo)-n-(npentyl, ndodecyl)-salicyladimine and bis [5-((4-alkoxyphenyl)azo)-n-(npentyl, ndodecyl)-salicyladiminato]copper(ii) [alkoxy=oncnh2n+1; n=3-7] homologues were synthesized and characterized by elemental analyses, mass and ir spectra. all complex homologues are thermally stable. cyclic voltammetric studies indicated that all copper...

We propose a framework for constructing efficient code-based encryption schemes from codes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first proposed by Alekhnovich in 2003 and based on the difficulty of decoding random linear codes from random errors of low weight. We depart somewhat from Aleknovich’s approach and propose an encryption s...

Abstract A module M is called $$\mathfrak {s}$$ s -coseparable if for every nonzero submodule U of such that / finitely generated, there exists a direct summand V $$V \subseteq U$$ V ⊆ U and generated. It shown non-finitely generated fr...

The notion of the square submodule of a module M over an arbitrary commutative ring R, which is denoted by RM, was introduced by Aghdam and Najafizadeh in [3]. In fact, RM is the R−submodule of M generated by the images of all bilinear maps on M. Furthermore, given a submodule N of an R−module M, we say that M is nil modulo N if μ(M×M) ≤ N for all bilinear maps μ on M. The main question about t...

Suppose that is an innnite set and k is a natural number. Let ] k denote the set of all k-subsets of and let F be a eld. In this paper we study the FSym(()-submodule structure of the permutation module F] k. Using the representation theory of nite symmetric groups, we show that every submodule of F] k can be written as an intersection of kernels of certain FSym(()-homomorphisms F] k ?! F] l for...

Submodule construction is the problem of finding a new submodule which, together with a given submodule, provides a behavior that conforms to a given desired global behavior. A new formulation of this problem and its solution in first-order logic is presented, and it is shown how the known solutions to this problem in the context of various communication paradigms and specification formalisms c...

In this paper we construct, using GAP System for Computational Discrete Algebra, some cyclic subspace codes, specially an optimal code over the finite field F210 . Further we present a definition and an example of the q-analogous of a m-quasi-cyclic subspace code over F28 .

Quasi-cyclic Codes from Cyclic-Structured Designs with Good Properties Dimitris E. Simos and Christos Koukouvinos Department of Mathematics National Technical University of Athens Zografou 15773, Athens, Greece {dsimos,ckoukouv}@math.ntua.gr Quasi-cyclic (QC) codes form an important class of linear codes, which contains the well-known class of cyclic codes. A linear code with a complementary du...