n-APR tilting and $$\tau $$-mutations

نویسندگان

چکیده

APR tilts for path algebra kQ can be realized as the mutation of quiver Q in $${\mathbb Z}Q$$ with respect to translation. In this paper, we show that have similar results quadratic dual truncations n-translation algebras; is, under certain condition, n-APR such algebras are $$\tau $$ -mutations. For -slice bound $$Q^{\perp }$$ , their iterated by -mutations Z|_{n-1} }Q^{\perp .

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ژورنال

عنوان ژورنال: Journal of Algebraic Combinatorics

سال: 2021

ISSN: ['0925-9899', '1572-9192']

DOI: https://doi.org/10.1007/s10801-021-01015-z