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On distributive lattices and weakly Mal’tsev categories. (English) Zbl 1264.06020

The notion of a weakly Mal’tsev category was introduced by the author in [Theory Appl. Categ. 21, 91–117 (2008; Zbl 1166.18005)]. This paper shows that a variety of distributive lattices is a weakly Mal’tsev category, while any algebra in a weakly Mal’tsev variety of lattices is a distributive lattice.

MSC:

06D99 Distributive lattices
06B20 Varieties of lattices
18B99 Special categories

Citations:

Zbl 1166.18005
Full Text: DOI

References:

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