{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T18:32:12Z","timestamp":1768674732018,"version":"3.49.0"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2017,3]]},"abstract":"<jats:p> Hoop-algebra is a naturally ordered commutative residuated integral monoids, which is introduced by B. Bosbach in Refs. 7 and 8. Now, in this paper, by considering the notion of hyper hoop-algebra, we find a condition to obtain a hoop from a finite bounded hyper hoop-algebra. Then we investigate the relations among hyper hoop-algebras and some of the other logical (hyper) algebras such as (hyper) [Formula: see text]-algebras, hyper [Formula: see text]-algebras, hyper [Formula: see text]-algebras, hyper [Formula: see text]-algebras and hyper [Formula: see text]-algebras. <\/jats:p>","DOI":"10.1142\/s1793005717500065","type":"journal-article","created":{"date-parts":[[2017,2,1]],"date-time":"2017-02-01T02:12:01Z","timestamp":1485915121000},"page":"61-74","source":"Crossref","is-referenced-by-count":1,"title":["Results on Hyper Hoop-Algebras"],"prefix":"10.1142","volume":"13","author":[{"given":"R. A.","family":"Borzooei","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H. 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