10 citations · 26 across the 6 of their papers we have counts for
6 papers
Pentactions and action representability in the category of reduced groups with action
Tamar Datuashvili, Tunçar Şahan
A notion of pentaction of any object in the category of reduced groups with action is introduced. The operations are defined in the set $\mathsf{Pentact}(A…
Actions and semi-direct products in categories of groups with action
Tamar Datuashvili, Tunçar Şahan
Derived actions in the category of groups with action on itself are defined and described. This category plays a crucial role in the solution of Loday's two…
Groups up to congruence relation and from categorical groups to c-crossed modules
Tamar Datuashvili, Osman Mucuk, Tunçar Şahan
We introduce a notion of c-group, which is a group up to congruence relation and consider the corresponding category. Extensions, actions and crossed modules (c-crossed modules) ar…
Left-right Noncommutative Poisson algebras
José M. Casas, Tamar Datuashvili, Manuel Ladra
The notions of left-right noncommutative Poisson algebra ($\NP^{lr}$-algebra) and left-right algebra with bracket $\AWB^{lr}$ are introduced. These algebras are special cases of $\…
Actor of an alternative algebra
José Manuel Casas, Tamar Datuashvili, Manuel Ladra
We define a category $\galt$ of g-alternative algebras over a field and present the category of alternative algebras $\alt$ as a full subcategory of $\galt$; in the case $\ch F…
Actors in categories of interest
J. M. Casas, T. Datuashvili, M. Ladra
For an object of a category of interest we construct the group with operations and the semidirect product and prov…