Corrigendum to "On multiplication (m, n)-hypermodules" [European J. Combin. 44(2015) 153-171]

On exact category of $(m, n)$-ary hypermodules

We introduce and study category of $(m, n)$-ary hypermodules as a generalization of the category of $(m, n)$-modules as well as the category of classical modules. Also, we study various kinds of morphisms. Especially, we characterize monomorphisms and epimorphisms in this category. We will proceed to study the fundamental relation on $(m, n)$-hypermodules, as an important tool in the study of a...

Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings

The aim of this research work is to define and characterize a new class of n-ary multialgebra that may be called canonical (m, n)&minus hypermodules. These are a generalization of canonical n-ary hypergroups, that is a generalization of hypermodules in the sense of canonical and a subclasses of (m, n)&minusary hypermodules. In addition, three isomorphism theorems of module theory and canonical ...

Corrigendum to: “Removing ECG Artifact from the Surface EMG Signal Using Adaptive Subtraction Technique” published in J Biomed Phys Eng 2014; 4(1):31-38

STRONGLY DUO AND CO-MULTIPLICATION MODULES

Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In additio...

General Γ - Hypermodules : Θ relation , T - Functor and Fundamental Modules

The main purpose of this paper is to introduce the concept of general Γ-hypermodules as a generalization of Γ-hypermodules, as a generalization of Γ-modules and as a generalization of modules. Then we extended the isomorphism theorems to general Γhypermodules. Also, it is observer that if N is a normal Γ-subhypermodule of Γ-hypermodule M, then, [M : N∗] is an abelian group. Finally, we show tha...