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Homological Duality and Quasi-Heredity

Published online by Cambridge University Press:  20 November 2018

István Ágoston ,
Vlastimil Dlab  and
Erzsébet Lukács
István Ágoston
Affiliation:
Mathematical Institute of the Hungarian Academy of Sciences, P.O.Box 127, 1364 Budapest Hungary email: e-mail: agoston@cs.elte.hu
Vlastimil Dlab
Affiliation:
Mathematical Institute of the Hungarian Academy of Sciences, P.O.Box 127, 1364 Budapest Hungary email: e-mail: agoston@cs.elte.hu
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Abstract

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This paper represents a general study of the (Yoneda) Ext-algebra A* of a finite dimensional K-algebra A. Our motivation lies in the problem of establishing conditions under which (i) the species of A* coincides with the dual species of A and (ii) the quasi-heredity of A (or A*) yields the quasi-heredity of A* (or A, respectively). These questions are closely related to the Kazhdan—Lusztig Theory as presented by [CPS2]. The main results include introducing the concept of a solid algebra and the relevant Theorem 4.5 as well as a rather complete description of the situation in the case of monomial algebras in Section 5.

Keywords

16E9916S9917B10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 5 , 01 October 1996 , pp. 897 - 917
Copyright
Copyright © Canadian Mathematical Society 1996

References

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