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On decomposition of pseudo BL-algebras

✍ Scribed by Anatolij Dvurečenskij; Tomasz Kowalski


Book ID
111493152
Publisher
SP Versita
Year
2011
Tongue
English
Weight
235 KB
Volume
61
Category
Article
ISSN
0139-9918

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On decomposition of pseudo BL-algebras
✍ Anatolij Dvurečenskij; Tomasz Kowalski 📂 Article 📅 2011 🏛 SP Versita 🌐 English ⚖ 235 KB

We show that under some conditions, imposed on coatoms and maximal idempotents of a pseudo BL-algebra, we can decompose a pseudo BL-algebra M as an ordinal sum and we show that then M is linearly ordered. We investigate pseudo BL-algebras with a unique coatom a and with a maximal idempotent, and ana