{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T11:49:21Z","timestamp":1773834561802,"version":"3.50.1"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2003,2]]},"abstract":"<jats:p>The semi-direct product of arbitrary two monoids and a presentation for this product have received considerable attention, see for instance [12, 14, 15]. In [15], Wang defined a trivializer set of the Squier complex associated with this presentation. In this paper, as a main result, we discuss necessary and sufficient conditions for the standard presentation of the semi-direct product of any two monoids to be p-Cockcroft for any prime p or 0. Finally we present some applications of this main theorem.<\/jats:p>","DOI":"10.1142\/s0218196703001298","type":"journal-article","created":{"date-parts":[[2003,3,27]],"date-time":"2003-03-27T09:28:57Z","timestamp":1048757337000},"page":"1-16","source":"Crossref","is-referenced-by-count":14,"title":["THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS"],"prefix":"10.1142","volume":"13","author":[{"given":"A. SINAN","family":"\u00c7EVIK","sequence":"first","affiliation":[{"name":"Balikesir Universitesi, Fen-Edebiyat Fakultesi, Matematik Bolumu, 10100 Balikesir, Turkey"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"231","volume":"60","author":"Ayik H.","journal-title":"Semigroup Forum"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196793000020"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1994.1039"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700006996"},{"key":"rf6","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198511946.001.0001","volume-title":"Fundamentals of Semigroup Theory","author":"Howie J. M.","year":"1995"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196791000055"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-0149-3_7"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196795000252"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(87)90129-0"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02573242"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(97)00164-3"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196703001298","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T03:21:01Z","timestamp":1733973661000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196703001298"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,2]]},"references-count":11,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,2]]}},"alternative-id":["10.1142\/S0218196703001298"],"URL":"https:\/\/doi.org\/10.1142\/s0218196703001298","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,2]]}}}