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pro vyhledávání: '"Green, Edward L."'
Autor:
Green, Edward L., Schroll, Sibylle
Let $KQ$ be a path algebra, where $Q$ is a finite quiver and $K$ is a field. We study $KQ/C$ where $C$ is the two-sided ideal in $KQ$ generated by all differences of parallel paths in $Q$. We show that $KQ/C$ is always finite dimensional and its glob
Externí odkaz:
http://arxiv.org/abs/2302.08169
Autor:
Green, Edward L., Schroll, Sibylle
Publikováno v:
In Journal of Pure and Applied Algebra May 2024 228(5)
Akademický článek
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In this paper we develop new reduction techniques for testing the finiteness of the finitistic dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a quotient of a path algebra, we propose two operations on the quiver
Externí odkaz:
http://arxiv.org/abs/1808.03564
Autor:
Green, Edward L., Schroll, Sibylle
Establishing whether an algebra is quasi-hereditary or not is, in general, a difficult problem. In this paper we introduce a sufficient criterion to determine whether a general finite dimensional algebra is quasi-hereditary by showing that the questi
Externí odkaz:
http://arxiv.org/abs/1710.06674
In this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homological properties. In particular, any two algebras in the same variety hav
Externí odkaz:
http://arxiv.org/abs/1707.07877
Let $\cQ$ be a quiver and $K$ a field. We study the interrelationship of homological properties of algebras associated to convex subquivers of $\cQ$ and quotients of the path algebra $K\cQ$. We introduce the homological heart of $\cQ$ which is a part
Externí odkaz:
http://arxiv.org/abs/1703.04562
Autor:
Green, Edward L., Schroll, Sibylle
We survey results on multiserial algebras, special multiserial algebras and Brauer configuration algebras. A structural property of modules over a special multiserial algebra is presented. Almost gentle algebras are introduced and we describe some re
Externí odkaz:
http://arxiv.org/abs/1703.01408
Autor:
Green, Edward L.
Koszul algebras with quadratic Groebner bases, called strong Koszul algebras, are studied. We introduce affine algebraic varieties whose points are in one-to-one correspondence with certain strong Koszul algebras and we investigate the connection bet
Externí odkaz:
http://arxiv.org/abs/1702.02918