{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T01:55:14Z","timestamp":1649037314661},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p> Given any amalgam [Formula: see text] of inverse semigroups, we show how to construct an amalgam [Formula: see text] such that [Formula: see text] is embedded into [Formula: see text], where [Formula: see text], [Formula: see text], [Formula: see text] and, for any [Formula: see text] and [Formula: see text] with [Formula: see text] in [Formula: see text], where [Formula: see text], there exists [Formula: see text] with [Formula: see text] in [Formula: see text]; that is, [Formula: see text] is a lower bounded subsemigroup of [Formula: see text] and [Formula: see text]. A recent paper by the author describes the Sch\u00fctzenberger automata of [Formula: see text], for an amalgam [Formula: see text] where [Formula: see text] is lower bounded in [Formula: see text] and [Formula: see text], giving conditions for [Formula: see text] to have decidable word problem. Thus we can study [Formula: see text] by considering [Formula: see text]. As an example, we generalize results by Cherubini, Jajcayov\u00e1, Meakin, Piochi and Rodaro on amalgams of finite inverse semigroups. <\/jats:p>","DOI":"10.1142\/s0218196721400129","type":"journal-article","created":{"date-parts":[[2021,6,20]],"date-time":"2021-06-20T04:51:06Z","timestamp":1624164666000},"page":"1269-1291","source":"Crossref","is-referenced-by-count":0,"title":["An amalgam of inverse semigroups is embedded into an amalgam with a lower bounded core"],"prefix":"10.1142","volume":"31","author":[{"given":"Paul","family":"Bennett","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of York, York, YO10 5DD, United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,6,18]]},"reference":[{"key":"S0218196721400129BIB001","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1997.7155"},{"key":"S0218196721400129BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196797000265"},{"key":"S0218196721400129BIB003","first-page":"3","volume":"2020","author":"Bennett P.","year":"2020","journal-title":"J. Semigroup Theory Appl."},{"key":"S0218196721400129BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-014-9601-4"},{"key":"S0218196721400129BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-007-9030-8"},{"key":"S0218196721400129BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/BF02676602"},{"key":"S0218196721400129BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2004.12.015"},{"key":"S0218196721400129BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196711006078"},{"key":"S0218196721400129BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-012-9399-x"},{"key":"S0218196721400129BIB010","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1996.0206"},{"key":"S0218196721400129BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(75)90164-7"},{"key":"S0218196721400129BIB012","volume-title":"An Introduction to Semigroup Theory","author":"Howie J. M.","year":"1976"},{"key":"S0218196721400129BIB013","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089500008442"},{"key":"S0218196721400129BIB014","volume-title":"Inverse Semigroups","author":"Petrich M.","year":"1984"},{"key":"S0218196721400129BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S021819671000556X"},{"key":"S0218196721400129BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(90)90057-O"},{"key":"S0218196721400129BIB017","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1998.7501"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721400129","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T18:31:39Z","timestamp":1630953099000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721400129"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,18]]},"references-count":17,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["10.1142\/S0218196721400129"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721400129","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,18]]}}}