Results 11 to 20 of about 82 (72)

Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE

open access: yes, 2022
In ring theory, if  and  be ideals of , then the multiplication of  and , which is defined by  is also ideal of . Motivated by the multiplication of two ideals, then can be defined a multiplication module, a special module which every
W.M. Patty, Henry   +3 more
core   +1 more source

On graded $S$-comultiplication modules

open access: yes, 2022
In this paper, we introduce the concept of graded $S$-comultiplication modules. Several results concerning graded $S$-comultiplication modules are proved.
Hamoda, Mohammad, Al-Zoubi, Khaldoun
core   +1 more source

On endomorphisms of multiplication and comultiplication modules [PDF]

open access: yes, 2008
summary:Let $R$ be a ring with an identity (not necessarily commutative) and let $M$ be a left $R$-module. This paper deals with multiplication and comultiplication left $R$-modules $M$ having right $\operatorname{End}_R(M)$-module ...
Farshadifar, F., Ansari-Toroghy, H.
core   +1 more source

Comultiplication lattice modules [PDF]

open access: yes, 2015
Let M be a lattice module over the multiplicative lattice L. M is said to be a comultiplication L-module if for every element N of M there exists an element a is an element of L such that N = (O(M:M)a).
Callialp, F., Ulucak, G., Tekir, U.
core   +1 more source

Yetter-Drinfeld modules over weak multiplier bialgebras [PDF]

open access: yes, 2015
We continue the study of the representation theory of a regular weak mul- tiplier bialgebra with full comultiplication, started in [4, 2]. Yetter-Drinfeld modules are defined as modules and comodules, with compatibility conditions that are equivalent to ...
Böhm, Gabriella Eszter
core   +1 more source

2-Absorbing coprimary submodules

open access: yes, 2021
The purpose of this paper is to introduce the concept of 2-absorbing coprimary submodule of a module as a generalization of strongly 2-absorbing second submodules and investigate some properties of this submodule class.
Gezen, Secil Ceken
core   +1 more source

Module and Comodule Structures on Path Space

open access: yes, 2016
On path space kQ, there is a trivial kQa-module structure determined by the multiplication of path algebra kQa and a trivial kQc-comodule structure determined by the comultiplication of path coalgebra kQc.
Chao Yuan, Lili Chen
core   +1 more source

Equivariant spectral triple for the quantum group Uq(2) for complex deformation parameters

open access: yes, 2023
Let q=|q|eiπθ be a nonzero complex number such that |q|≠1 and consider the compact quantum group Uq(2). For θ∉Q∖{0,1}, we obtain the K-theory of the underlying C⁎-algebra C(Uq(2)).
Guin, Satyajit, Saurabh, Bipul
core   +1 more source

Coalgebras of words and phrases

open access: yes, 2007
We introduce two constructions of a coassociative comultiplication in the algebra of phrases in a given alphabet. As a preliminary step we give two constructions of a pre-Lie comultiplication in the module generated by ...
Turaev, Vladimir
core   +1 more source

Strongly (Completely) Hollow Sub-modules II

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
  Let M be an R-module, where R is commutative ring with unity. In this paper we study the behavior of strongly hollow and quasi hollow submodule in the class of strongly comultiplication modules.
Inaam M. A. Hadi, Ghaleb A. Humod
doaj  

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