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What is Generalized Reynolds Ideals Invariance about?

This document presents a study on the invariance of generalized Reynolds ideals under derived equivalences for symmetric algebras over algebraically closed fields of positive characteristic. The main result establishes that if two algebras A and B have equivalent derived categories, then there exists an isomorphism between their centers that maps the ideals Tn A⊥ to Tn B⊥ for all non-negative integers n. This finding provides new invariants for equivalences between triangulated categories, contributing to t

Author

ABCD TRACKS

Language

EN