JP Journal of Algebra, Number Theory and Applications
Volume 27, Issue 2, Pages 131 - 142
(December 2012)
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THE p-REGULAR SUBSPACES OF SYMMETRIC NAKAYAMA ALGEBRAS AND ALGEBRAS OF DIHEDRAL AND SEMIDIHEDRAL TYPE
Aditya Purwa Santika and Intan Muchtadi-Alamsyah
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Abstract: In this paper, we define and determine the p-regular subspace of symmetric Nakayama algebras. We also determine the 2-regular subspaces of algebras of dihedral and semidihedral type with two simple modules. The importance of these calculations is that any block with cyclic defect group is derived equivalent with a symmetric Nakayama algebra and any block with dihedral or semidihedral defect group and two simple modules is derived equivalent to some algebra of dihedral type and semidihedral type, respectively. |
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