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math.RT2012
Quasi-hereditary algebras via generator-cogenerators of local self-injective algebras and transfer of Ringel duality
Daiva Pucinskaite
The dominant dimension of algebras in the class A of 1-quasi-hereditary algebras is at least two. By the Morita-Tachikawa Theorem this implies that A is related to a certain class…
math.RT2012★ 1 cited
1-quasi-hereditary algebras: Examples and invariant submodules of projectives
Daiva Pucinskaite
In arXiv:1104.4441 it was shown that any 1-quasi-hereditary algebra affords a particular basis which is related to a given partial order on the set of simple modules. We show that…
math.RT2011★ 1 cited
1-quasi-hereditary algebras
Daiva Pucinskaite
Motivated by the structure of the algebras associated to the blocks of the BGG-category O we define a subclass of quasi-hereditary algebras called 1-quasi-hereditary. Many properti…