Filter theory of BL algebras

Radical of filters in BL-algebras

✍ Somayeh Motamed; Lida Torkzadeh; Arsham Borumand Saeid; Neda Mohtashamnia 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

In this paper, the notion of the radical of a filter in BL-algebras is defined and several characterizations of the radical of a filter are given. Also we prove that A/F is an M V -algebra if and only if Ds (A) ⊆ F . After that we define the notion of semi maximal filter in BL-algebras and we state

n -fold filters in BL-algebras

✍ Masoud Haveshki; Esfandiar Eslami 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB

## 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 al

Varieties of BL-algebras

✍ A. Di Nola; F. Esteva; L. Godo; F. Montagna 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 267 KB

Boolean Products of BL-Algebras

✍ Antonio Di Nola; George Georgescu; Laurenţiu Leuştean 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 188 KB

The representation of algebras by Boolean products is a very general problem in universal algebra. In this paper we shall characterize the Boolean products of BL-chains, the weak Boolean products of local BL-algebras, and the weak Boolean products of perfect BL-algebras.

Compact representations of BL-algebras

✍ Antonio Di Nola; Laurenţiu Leuştean 📂 Article 📅 2003 🏛 Springer 🌐 English ⚖ 245 KB

Sheaf representations of BL-algebras

✍ L. Leuştean 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 199 KB