Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Iovanov, Miodrag C"'
Autor:
Iovanov, Miodrag C., Koffi, Gerard D.
We provide a unified approach, via deformations of incidence algebras, to several important types of representations with finiteness conditions, as well as the combinatorial algebras which produce them. We show that over finite dimensional algebras,
Externí odkaz:
http://arxiv.org/abs/1702.03356
Autor:
Iovanov, Miodrag C, Sistko, Alexander
We study the representation theory of the algebraic Toeplitz algebra $R={\mathbb K}\langle x,y\rangle/\langle xy-1\rangle$, give a few new structure and homological theorems, completely determine one-sided ideals and survey and re-obtain results from
Externí odkaz:
http://arxiv.org/abs/1603.00109
Autor:
Abdulwahid, Adnan, Iovanov, Miodrag C
We investigate cofree coalgebras, and limits and colimits of coalgebras in some abelian monoidal categories of interest, such as bimodules over a ring, and modules and comodules over a bialgebra or Hopf algebra. We find concrete generators for the ca
Externí odkaz:
http://arxiv.org/abs/1603.00108
Publikováno v:
In Journal of Algebra 15 April 2021 572:297-325
Publikováno v:
Linear Algebra Appl., Vol. 439 (2013), no. 10, 3166--3172
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 $k$ is Frobenius if and only if it consists, up to a permutation of rows and c
Externí odkaz:
http://arxiv.org/abs/1512.09339
Autor:
Dascalescu, Sorin, Iovanov, Miodrag C.
Publikováno v:
Forum Math. 27 (2015), No. 5, 2587--2608
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 duality in the unital case can be constructed. Using this, we introduce
Externí odkaz:
http://arxiv.org/abs/1512.09344
Autor:
Iovanov, Miodrag C.
Publikováno v:
Algebr. Represent. Theory, Vol. 17 (2014), No. 4, pp 1145--1154
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 radical and is right semiartinian too. Equivalently, we show that a for a
Externí odkaz:
http://arxiv.org/abs/1512.09338
Publikováno v:
Israel Journal of Mathematics, Volume 215 (2016), 801-855
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 theory of diagonalizable algebras of operators on a finite-dimensional v
Externí odkaz:
http://arxiv.org/abs/1502.05184
Autor:
Edison, Jeremy, Iovanov, Miodrag C.
Publikováno v:
In Journal of Algebra 15 November 2019 538:1-34
Autor:
Iovanov, Miodrag C.
We give a positive answer to a conjecture of Faith stating that a self-injective semiprimary ring is QF, for algebras which are at most countable dimensional modulo their Jacobson radical. As a consequence of the method used, we also give short proof
Externí odkaz:
http://arxiv.org/abs/1111.2901