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We explore the structure of [Formula: see text] as well as its subsemigroups [Formula: see text] (consisting of all regular elements) and [Formula: see text] (consisting of all products of idempotents), and the ideals of [Formula: see text]. Among other results, we calculate the rank and idempotent rank (if applicable) of each semigroup, and (where possible) the number of (idempotent) generating sets of the minimal possible size.<\/jats:p>","DOI":"10.1142\/s021819671550037x","type":"journal-article","created":{"date-parts":[[2015,10,27]],"date-time":"2015-10-27T07:13:51Z","timestamp":1445930031000},"page":"1187-1222","source":"Crossref","is-referenced-by-count":23,"title":["Variants of finite full transformation semigroups"],"prefix":"10.1142","volume":"25","author":[{"given":"Igor","family":"Dolinka","sequence":"first","affiliation":[{"name":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21101 Novi Sad, Serbia"}]},{"given":"James","family":"East","sequence":"additional","affiliation":[{"name":"Centre for Research in Mathematics, School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bag 1797, Penrith NSW 2751, Australia"}]}],"member":"219","published-online":{"date-parts":[[2015,12,30]]},"reference":[{"issue":"87","key":"S021819671550037XBIB001","first-page":"261","volume":"45","author":"A\u012dzen\u0161tat A. 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