Results 61 to 70 of about 4,745 (95)

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  

Strongly (Comletely) Hollow Submodules I

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
Let R be a commutative ring with unity and let M be an R-module. In this paper we study strongly (completely) hollow submodules and quasi-hollow submodules.
I. M. A. Hadi, Gh. A. Humod
doaj  

A Hopf algebra associated to a Lie pair

open access: yes, 2014
The quotient $L/A[-1]$ of a pair $A\hookrightarrow L$ of Lie algebroids is a Lie algebra object in the derived category $D^b(\mathscr{A})$ of the category $\mathscr{A}$ of left $\mathcal{U}(A)$-modules, the Atiyah class $\alpha_{L/A}$ being its Lie ...
Chen, Zhuo, Stiénon, Mathieu, Xu, Ping
core   +1 more source

Some results on comultiplication modules

open access: yesInternational Journal of Algebra, 2013
Let M be a faithful multiplication and comultiplication module over a commutative ring R. In this paper we investigate some results on such modules.
openaire   +1 more source

Full centre of an H -module algebra [PDF]

open access: yes, 2010
We apply the full centre construction, defined in arXiv:0908.1250, to algebras in and module categories over categories of representations of Hopf algebras.
Davydov, Alexei
core  

A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl(2)) via projective and Zuckerman functors

open access: yes, 1999
We identify the Grothendieck group of certain direct sum of singular blocks of the highest weight category for sl(n) with the n-th tensor power of the fundamental (two-dimensional) sl(2)-module.
Bernstein, Joseph   +2 more
core   +1 more source

Algebraic Structures Derived from Foams [PDF]

open access: yes, 2010
Foams are surfaces with branch lines at which three sheets merge. They have been used in the categorification of sl(3) quantum knot invariants and also in physics.
Carter, J. Scott, Saito, Masahico
core  

On Irreducibility of Tensor Products of Yangian Modules

open access: yes, 1997
We study the tensor product $V$ of any number of "elementary" irreducible modules over the Yangian of the general linear Lie algebra. An elementary module is determined by a skew Young diagram and by a complex parameter, and contains a vector called ...
Nazarov, Maxim, Tarasov, Vitaly
core  

Pseudo-absorbing comultiplication modules over a pullback ring

open access: yesInternational Electronic Journal of Algebra
In this paper, we introduce the notion of pseudo-absorbing comultiplication modules. A full description of all indecomposable pseudo-absorbing comultiplication modules with finite dimensional top over certain kinds of pullback rings are given and establish a connection between the pseudo-absorbing comultiplication modules and ...
ATANI, Shahabaddin Ebrahimi   +2 more
openaire   +3 more sources

Curved differential graded algebras and corings

open access: yes, 2013
A relationship between curved differential algebras and corings is established and explored. In particular it is shown that the category of semi-free curved differential graded algebras is equivalent to the category of corings with surjective counits ...
Brzeziński, Tomasz
core  

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