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math.KT2021
Homological properties of extensions of algebras
Kostiantyn Iusenko, John W. MacQuarrie
We consider a class of extensions of associative algebras, which we refer to as ``strongly proj-bounded extensions''. We prove that the finiteness of the left global dimension and…
math.GR2021
Blocks of profinite groups with cyclic defect group
Ricardo J. Franquiz Flores, John W. MacQuarrie
We demonstrate that the blocks of a profinite group whose defect groups are cyclic have a Brauer tree algebra structure analogous to the case of finite groups. We show further that…