|Title:||A note on CIP varieties||Journal:||Algebra Universalis||Volume:||45||First page:||349||Last page:||351||Issue Date:||1-Apr-2001||Rank:||M23||DOI:||10.1007/s00012-001-8167-7||Abstract:||
It is proved that every variety satisfying the Congruence Intersection Property (CIP) is Abelian. In addition, a CM Abelian variety has the CIP if and only if it has a constant term operation. Finally, a CM variety is Abelian if and only if it has the weak CIP.
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