caa a22 4500 378894536 CHVBK 20180305123503.0 cr unu---uuuuu 161128e20040906xx s 000 0 eng 10.1515/jgth.2004.7.4.543 doi (NATIONALLICENCE)gruyter-10.1515/jgth.2004.7.4.543 Generators for a subgroup of finite index in the unit group of an integral semigroup ring [Elektronische Daten] [Ann Dooms, Eric Jespers] We explicitly construct finitely many generators for a subgroup of finite index in the unit group of an arbitrary integral semigroup ring ℤS (with identity) of a finite semigroup S, subject to some restrictions on the simple epimorphic images of degree 1 and 2 of the rational semigroup algebra ℚS. For a Mal'tsev nilpotent semigroup S even more precise information is obtained for the generators coming from the radical, and furthermore we can overcome most of the restrictions imposed on the simple images mentioned above. This extends previous work on group rings, matrices over group rings and some other orders. © de Gruyter Mathematical foundations nationallicence Applied mathematics nationallicence Number theory nationallicence Dooms Ann aut Jespers Eric aut Journal of Group Theory Walter de Gruyter 7/4(2004-09-06), 543-553 1433-5883 7:4<543 2004 7 jgth https://doi.org/10.1515/jgth.2004.7.4.543 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/jgth.2004.7.4.543 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dooms Ann aut NATIONALLICENCE 700 1- Jespers Eric aut NATIONALLICENCE 773 0- Journal of Group Theory Walter de Gruyter 7/4(2004-09-06), 543-553 1433-5883 7:4<543 2004 7 jgth CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter