18 citations · 53 across the 22 of their papers we have counts for
11 papers · 1 filter
Ore Extensions and Infinite Triangularization
Miodrag Iovanov, Jeremy Edison, Alexander Sistko
We give infinite triangularization and strict triangularization results for algebras of operators on infinite dimensional vector spaces. We introduce a class of algebras we call Or…
Maximal Subalgebras of Finite-Dimensional Algebras
Miodrag Iovanov, Alexander Sistko
We study maximal subalgebras of an arbitrary finite dimensional algebra over a field, and obtain full classification/description results of such algebras. This is done by first obt…
Triangular matrix coalgebras and applications
M. C. Iovanov
We study generalized comatrix coalgebras and upper triangular comatrix coalgebras, which are not only a dualization but also an extension of classical generalized matrix algebras.…
On the Toeplitz-Jacobson algebra and direct finiteness
Miodrag C Iovanov, Alexander Sistko
We study the representation theory of the algebraic Toeplitz algebra , give a few new structure and homological theorems, compl…
Semiartinian profinite algebras have nilpotent Jacobson radical
Miodrag C. Iovanov
We give a method to study the finiteness of the coradical filtration of a coalgebra; as a consequence, we show that a left semiartinian profinite algebra has nilpotent Jacobson rad…
Infinite-dimensional diagonalization and semisimplicity
Miodrag C. Iovanov, Zachary Mesyan, Manuel L. Reyes
We characterize the diagonalizable subalgebras of End(V), the full ring of linear operators on a vector space V over a field, in a manner that directly generalizes the classical th…