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Joins and Meets of Symmetric Idempotents
Authors:Reinhard Börger
Affiliation:1. Fakult?t für Mathematik und Informatik, FernUniversit?t Hagen, 58084, Hagen, Germany
Abstract:
We show that the poset of symmetric idempotents of a (non-commutative) unital ring with involution in the obvious order need not admit finite joins and meets.
Keywords:unital ring  involution  idempotent  symmetric element  regular symmetric bilinear form  orthogonality  adjoint map
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