=ADD= =reftype= 14 =number= 01-16 =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2001/01-16.ps.gz =year= 2001 =month= 08 =author= Athale; Manasi + Athale; Rahul =title= A short note on generation of class of rings with subrings having different multiplicative identity than the ring =abstract= The short note demonstrates how one can use the theorem of existence of solution for linear congruence to generate a class of rings which has subrings with different multiplicative identity than the ring itself. The note also describes the method to generate the subrings with this property and gives some examples. =howpublished= AAA62 - Workshop on General Algebra (62. Arbeitstagung Allgemeine Algebra)