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Abelian differential modes are quasi-affine. (English) Zbl 1265.08002
The subject of the paper is differential modes, i.e., modes with a single \(n\)-ary operation, possessing a congruence such that all its blocks and the factor are left projection algebras. The main result says that abelian differential modes are quasi-affine, hence embed into a reduct of a module. The proof is based on the axiomatization of quasi-affine algebras developed in [M. M. Stronkowski and the author, Proc. Am. Math. Soc. 138, No. 8, 2687–2699 (2010; Zbl 1206.08002)].

08A05 Structure theory of algebraic structures
15A78 Other algebras built from modules
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