n ‐fold filters in BL‐algebras

Masoud Haveshki, Esfandiar Eslami · Mathematical logic quarterly · 2008

Abstract 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)

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