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T-ideals in BZ-algebras and T-type BZ-algebras. (English) Zbl 1057.06010

In this paper, the authors introduce the notions of T-type BZ-algebra and T-ideal in a BZ-algebra as generalizations of those of BCI-algebras. The authors also introduce the notion of associative ideal in a BZ-algebra. They investigate properties and characteristics of these notions and obtain some important results.
Reviewer: Jie Meng (Xian)

MSC:

06F35 BCK-algebras, BCI-algebras
03G25 Other algebras related to logic

Keywords:

BZ-algebra; T-ideal
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