n -fold filters in BL-algebras

摘要

In this paper we introduce n -fold (positive) implicative basis logic and the related algebras called n -fold (positive) implicative BL-algebras. Also we define n -fold (positive) implicative filters and we prove some relations between these filters and construct quotient algebras via these filters. (? 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim).