{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,15]],"date-time":"2026-07-15T13:09:01Z","timestamp":1784120941220,"version":"3.55.0"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2020,5]]},"abstract":"<jats:p> In partial action theory, a pertinent question is whenever given a partial action of a Hopf algebra [Formula: see text] on an algebra [Formula: see text], it is possible to construct an enveloping action. The authors Alves and Batista, in [M. Alves and E. Batista, Globalization theorems for partial Hopf (co)actions and some of their applications, groups, algebra and applications, Contemp. Math. 537 (2011) 13\u201330], have shown that this is always possible if [Formula: see text] is unital. We are interested in investigating the situation, where both algebras [Formula: see text] and [Formula: see text] are not necessarily unitary. A nonunitary natural extension for the concept of Hopf algebras was proposed by Van Daele, in [A. Van Daele, Multiplier Hopf algebras, Trans. Am. Math. Soc. 342 (1994) 917\u2013932], which is called multiplier Hopf algebra. Therefore, we will consider partial actions of multipliers Hopf algebras on algebras with a nondegenerate product and we will present a globalization theorem for this structure. Moreover, Dockuchaev et al. in [Globalizations of partial actions on nonunital rings, Proc. Am. Math. Soc. 135 (2007) 343\u2013352], have shown when group partial actions on nonunitary algebras are globalizable. Based on this paper, we will establish a bijection between globalizable group partial actions and partial actions of a multiplier Hopf algebra. <\/jats:p>","DOI":"10.1142\/s0218196720500101","type":"journal-article","created":{"date-parts":[[2019,10,14]],"date-time":"2019-10-14T03:47:13Z","timestamp":1571024833000},"page":"539-565","source":"Crossref","is-referenced-by-count":4,"title":["Multiplier Hopf algebras: Globalization for partial actions"],"prefix":"10.1142","volume":"30","author":[{"given":"Graziela","family":"Fonseca","sequence":"first","affiliation":[{"name":"Instituto Federal de Educa\u00e7\u00e3o, Ci\u00eancia e Tecnologia Sul-Rio-Grandense, Charqueadas, RS 96.745-000, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eneilson","family":"Fontes","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica, Estat\u00edstica e F\u00edsica, Universidade Federal do Rio Grande, Rio Grande, RS 96.201-900, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Grasiela","family":"Martini","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica, Estat\u00edstica e F\u00edsica, Universidade Federal do Rio Grande, Rio Grande, RS 96.201-900, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2019,11,26]]},"reference":[{"key":"S0218196720500101BIB001","doi-asserted-by":"publisher","DOI":"10.1080\/00927870903095582"},{"key":"S0218196720500101BIB002","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/537\/10564"},{"key":"S0218196720500101BIB004","doi-asserted-by":"publisher","DOI":"10.1080\/00927870802110334"},{"key":"S0218196720500101BIB006","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-06-08503-0"},{"key":"S0218196720500101BIB007","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-04-03519-6"},{"key":"S0218196720500101BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/00927879908826688"},{"key":"S0218196720500101BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498810003926"},{"key":"S0218196720500101BIB010","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1994-1220906-5"},{"key":"S0218196720500101BIB011","doi-asserted-by":"publisher","DOI":"10.1006\/aima.1998.1775"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196720500101","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,8]],"date-time":"2020-04-08T06:41:22Z","timestamp":1586328082000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196720500101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,26]]},"references-count":9,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["10.1142\/S0218196720500101"],"URL":"https:\/\/doi.org\/10.1142\/s0218196720500101","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,26]]}}}