{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T21:04:46Z","timestamp":1649019886657},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2009,12]]},"abstract":"<jats:p> We classify [Formula: see text]- and [Formula: see text]-cross-sections of wreath products of finite inverse symmetric semigroups [Formula: see text] up to isomorphism. We show that every isomorphism of [Formula: see text] cross-sections of [Formula: see text] is a conjugacy. As an auxiliary result, we get that every isomorphism of [Formula: see text] cross-sections of [Formula: see text] is also a conjugacy. We also compute the number of non-isomorphic [Formula: see text] cross-sections of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196709005469","type":"journal-article","created":{"date-parts":[[2010,1,28]],"date-time":"2010-01-28T10:30:36Z","timestamp":1264674636000},"page":"999-1010","source":"Crossref","is-referenced-by-count":0,"title":["ON ISOMORPHISMS OF $\\mathcal{R}$- AND $\\mathcal{L}$-CROSS-SECTIONS OF WREATH PRODUCTS OF FINITE INVERSE SYMMETRIC SEMIGROUPS"],"prefix":"10.1142","volume":"19","author":[{"given":"YEVGENIYA","family":"KOCHUBINSKA","sequence":"first","affiliation":[{"name":"Kyiv National Taras Shevchenko University, Department of Mechanics and Mathematics, Volodymyrska str. 64, 01601, Kyiv, Ukraine"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"259","volume":"3","author":"Cowan D. F.","journal-title":"Int. J. Algebra Comput."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84800-281-4"},{"key":"rf3","first-page":"4507","volume":"9","author":"Ganyushkin O.","journal-title":"Commun. Algebra"},{"key":"rf4","volume-title":"Automata, Languages and Machines","author":"Eilenberg S.","year":"1976"},{"key":"rf5","first-page":"49","volume":"1","author":"Kochubinska Ye.","journal-title":"Algebra Discrete Math."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.endm.2007.01.058"},{"key":"rf7","series-title":"Pitman Monographs and Surveys in Pure and Applied Mathematics","volume-title":"Wreath Products of Groups and Semigroups","volume":"74","author":"Meldrum J. P. D.","year":"1995"},{"key":"rf8","first-page":"82","volume":"3","author":"Pyekhtyeryev V.","journal-title":"Algebra Discrete Math."},{"key":"rf9","first-page":"133","volume":"2","author":"Pyekhtyeryev V.","journal-title":"Mat. Stud."},{"key":"rf10","first-page":"697","volume":"2","author":"Renner L. E.","journal-title":"J. Algebra"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196709005469","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:21:28Z","timestamp":1565130088000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196709005469"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,12]]},"references-count":10,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,12]]}},"alternative-id":["10.1142\/S0218196709005469"],"URL":"https:\/\/doi.org\/10.1142\/s0218196709005469","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,12]]}}}