In this paper we investigate subtractive varieties of algebras that are congruence quasi-orderable. Though this concept has its origin in abstract algebraic logic, it seems to be worth investigating in a purely algebraic fashion. Besides clarifying the algebraic meaning of this notion, we obtain several structure theorems about such varieties. Also several examples are provided to illustrate the theory.
Agliano', P. (2001). Congruence quasi-orderability in subtractive varieties. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 71(3), 421-446 [10.1017/S1446788700003025].
Congruence quasi-orderability in subtractive varieties
AGLIANO', PAOLO
2001-01-01
Abstract
In this paper we investigate subtractive varieties of algebras that are congruence quasi-orderable. Though this concept has its origin in abstract algebraic logic, it seems to be worth investigating in a purely algebraic fashion. Besides clarifying the algebraic meaning of this notion, we obtain several structure theorems about such varieties. Also several examples are provided to illustrate the theory.
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https://hdl.handle.net/11365/1013870