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On idempotent modifications of generalizedMV-algebras

✍ Scribed by Ján Jakubík


Book ID
111493074
Publisher
SP Versita
Year
2010
Tongue
English
Weight
313 KB
Volume
60
Category
Article
ISSN
0139-9918

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Higher degrees of distributivity in comp
✍ Ján Jakubík 📂 Article 📅 2011 🏛 SP Versita 🌐 English ⚖ 196 KB

We apply the notion of generalized MV -algebra (GMV -algebra, in short) in the sense of Galatos and Tsinakis. Let M be a complete GMV -algebra and let α be a cardinal. We prove that M is α-distributive if and only if it is (α, 2)-distributive. We deal with direct summands of M which are homogeneous