Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures

• Date: 2018
• Main Authors: Kurdachenko, Leonid A., Subbotin, Igor Ya., Yashchuk, Victoria S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: ring; lattice; distributive lattice; fuzzy ring; homomorphism; 20M10; 06D99; 16W99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/343
• Journal Title: Algebra and Discrete Mathematics

In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and \(L\)-fuzzy rings where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of curr...