Projective discrete modules over profinite groups

Published 29 Jul 2019 in math.RA, math.CT, math.GR, and math.RT | (1907.12496v1)

Abstract: We show that the category of discrete modules over an infinite profinite group has no non-zero projective objects and does not satisfy Ab4*. We also prove the same types of results in a generalized setting using a ring with linear topology.

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