18 citations · 53 across the 22 of their papers we have counts for
4 papers · 1 filter
Semiperfect and coreflexive coalgebras
Sorin Dascalescu, Miodrag C. Iovanov
We study non-counital coalgebras and their dual non-unital algebras, and introduce the finite dual of a non-unital algebra. We show that a theory that parallels in good part the du…
Frobenius Structural Matrix Algebras
Sorin Dascalescu, Miodrag C. Iovanov, Sorina Predut
We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field is F…
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…