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Homological Associativity of Differential Graded Algebras and Gröbner Bases

Published 31 May 2024 in math.AC | (2406.00141v1)

Abstract: We investigate associativity of multiplications on chain complexes over commutative noetherian rings from two perspectives. First, we introduce a natural associator subcomplex and show how its homology can detect associativity. Second, we use Gr\"obner bases to compute associators.

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