l-hereditary triangular matrix algebras of tame type
Copyright policy )l-hereditary triangular matrix algebras of tame type
We call \(T_ 2(A)=\left[ \begin{matrix} A\\ 0\end{matrix} \begin{matrix} A\\ A\end{matrix} \right]\) a triangular matrix algebra over an algebra A. Recall that an algebra A is called \(\ell\)-hereditary if any left (right) ideal in A with a unique maximal left (right) submodule is projective. The main result is the description of \(\ell\)-hereditary algebras A such that the algebras \(T_ 2(A)\) are of tame type. This characterization is obtained in terms of the Gabriel quiver of the algebra A.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
\(\ell \)-hereditary algebras, triangular matrix algebra, Finite rings and finite-dimensional associative algebras, Representation theory of associative rings and algebras, Endomorphism rings; matrix rings, tame type, Gabriel quiver
\(\ell \)-hereditary algebras, triangular matrix algebra, Finite rings and finite-dimensional associative algebras, Representation theory of associative rings and algebras, Endomorphism rings; matrix rings, tame type, Gabriel quiver
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!