{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T11:23:55Z","timestamp":1767612235233},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2023,11]]},"abstract":"<jats:p> This study aims to introduce the concept of [Formula: see text]-ideal in bounded commutative residuated lattices and establish some related properties. In this paper, we show that the set of [Formula: see text]-ideals of a bounded commutative residuated lattice is a Heyting algebra, and an algebraic lattice. Moreover, we state the prime [Formula: see text]-ideal theorem, and describe relations between [Formula: see text]-ideals and some types of ideals of a bounded commutative residuated lattice. Finally, we discuss correspondences between [Formula: see text]-ideals and [Formula: see text]-filters of a bounded commutative residuated lattice. <\/jats:p>","DOI":"10.1142\/s1793005723500254","type":"journal-article","created":{"date-parts":[[2022,8,19]],"date-time":"2022-08-19T03:26:03Z","timestamp":1660879563000},"page":"611-630","source":"Crossref","is-referenced-by-count":2,"title":["\u03b1-Ideals in Bounded Commutative Residuated Lattices"],"prefix":"10.1142","volume":"19","author":[{"given":"Ariane G. Tallee","family":"Kakeu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, West Region, Cameroon"}]},{"given":"Lutz","family":"Str\u00fcngmann","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science, Mannheim University of Applied Sciences, Mannheim 68163, Germany"}]},{"given":"Blaise B. 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