éTUDE DES ω-PI ALGèBRES COMMUTATIVES DE DEGRé 4:, II. ALGèBRES NON BARYCENTRIQUES INVARIANTES PAR, AMéTISATION

摘要

In this article we study the algebras satisfying the ω-polynomial identity x~2x~2 ? x~4 = δ(x~2 ? x) with δ ≠ 0 but do not satisfy any monomial identities of degree ≤4. We show that there exist such algebras for all δ ≠ 0 and they have a unique baric function. We give conditions for the existence of idempotents of weight 0 or 1, and we construct the three Peirce decompositions associated to these idempotent elements.