{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,4]],"date-time":"2024-04-04T02:56:07Z","timestamp":1712199367412},"reference-count":29,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2019,11]]},"abstract":"<jats:p>Given a complete residuated lattice [Formula: see text] and a mono-unary algebra [Formula: see text], it is well known that [Formula: see text] and the residuated lattice [Formula: see text] of [Formula: see text]-fuzzy subsets of [Formula: see text] satisfy the same residuated lattice identities. In this paper, we show that [Formula: see text] and the residuated lattice [Formula: see text] of [Formula: see text]-fuzzy subalgebras of [Formula: see text] satisfy the same residuated lattice identities if and only if the Heyting algebra [Formula: see text] of subuniverses of [Formula: see text] is a Boolean algebra. We also show that [Formula: see text] is a Boolean algebra (respectively, an [Formula: see text]-algebra) if and only if [Formula: see text] is a Boolean algebra (respectively, an [Formula: see text]-algebra) and [Formula: see text] is a Boolean algebra.<\/jats:p>","DOI":"10.1142\/s1793005719500315","type":"journal-article","created":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T09:08:54Z","timestamp":1554714534000},"page":"539-551","source":"Crossref","is-referenced-by-count":4,"title":["A Residuated Lattice of L-Fuzzy Subalgebras of a Mono-Unary Algebra"],"prefix":"10.1142","volume":"15","author":[{"given":"S. V. Tchoffo","family":"Foka","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Yaounde 1, P.O. Box 812, Yaounde, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marcel","family":"Tonga","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Yaounde 1, P.O. Box 812, Yaounde, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,10,7]]},"reference":[{"key":"S1793005719500315BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1793005719500315BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90189-8"},{"issue":"2","key":"S1793005719500315BIB003","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/0165-0114(95)00194-8","volume":"81","author":"\u0160e\u0161elja B.","year":"1996","journal-title":"Fuzzy Sets and Systems"},{"key":"S1793005719500315BIB004","unstructured":"R. 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