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- Title
Prime and primitive Kumjian-Pask algebras.
- Authors
Kashoul-Radjabzadeh, M.; Larki, H.; Aminpour, A.
- Abstract
In this paper, prime as well as primitive Kumjian-Pask algebras of a row-finite -graph over a unital commutative ring are completely characterized in graph-theoretic and algebraic terms. By applying quotient -graphs, these results describe prime and primitive graded basic ideals of Kumjian-Pask algebras. In particular, when is strongly aperiodic and is a field, all prime and primitive ideals of a Kumjian-Pask algebra are determined.
- Subjects
PRIME numbers; COMMUTATIVE algebra; GRAPH theory; IDEALS (Algebra); COMMUTATIVE rings
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817501699