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- Title
Central Group Gradings of Incidence Algebras.
- Authors
Parmenter, M. M.; Spiegel, E.
- Abstract
In this note, we are interested in group gradings of algebras where the homogeneous component of the identity is central in the algebra. This notion extends that of β-commutative group gradings. It is shown that the incidence algebra of a locally finite partially ordered set has such a group grading if and only if the partially ordered set is an antichain.
- Subjects
ALGEBRA; INCIDENCE algebras; COMMUTATIVE algebra; PARTIALLY ordered sets; MATHEMATICS; ORDERED sets
- Publication
Algebra Colloquium, 2004, Vol 11, Issue 4, p421
- ISSN
1005-3867
- Publication type
Article