5 citations · 11 across the 24 of their papers we have counts for
6 papers · 1 filter
Absolute Ideals of Almost Completely Decomposable Abelian Groups
Ekaterina Kompantseva, Askar Tuganbaev
We consider the class of Abelian block-rigid -groups of ring type. A subgroup of an Abelian group is called an \textsf{absolute ideal} of the group …
On Rings over Which All Modules Are Direct Sums of Distributive Modules
Askar Tuganbaev
A module is said to be \textsf{distributive} if the lattice of its submodules is distributive. A direct sum of distributive modules is called a \textsf{semidistributive} module. In…
Centrally Essential Factor Rings and Subdirect Indecomposability
Oleg Lyubimtsev, Askar Tuganbaev
Let be a ring and let , be its Jacobson radical and center, correspondingly. If is a centrally essential ring and the factor ring is commutative, then…
Incidence Rings: Automorphisms and Derivations
Piotr Krylov, Askar Tuganbaev
We study automorphisms, isomorphisms, and derivations of the incidence algebra , where is preordered set and is an algebra over some commutative ring .
Formal Matrix Rings: Isomorphism Problem
Piotr Krylov, Askar Tuganbaev
We consider the isomorphism problem for formal matrix rings over a given ring. Principal factor matrices of such rings play an important role in this case. The work is supported by…
-distributive modules and rings
A. A. Tuganbaev
Let be a ring with minimum condition on principal right ideals. It is proved that -distributive right (left) -modules coincide with Artinian (Noetherian) right (le…