Set Theory & Algebra

@arjunsuresh:disqus
Please discuss properties of Group, Lattices, Bollean Algebra if time permits.
Should we study field, integral domain rings ? If answer is yes, point good resource .. The defination of those topics are so boring, I tend to forget them !

QUestions ->
http://gateoverflow.in/19164/cyclic-group Groups This question, only answer has no reference, No idea from where it can come from
http://gateoverflow.in/3316/gate2008-it_26 => Sub field

Following Questions are too difficult & going like bouncer on my head !
http://gateoverflow.in/25384/tifr2013-a-3
http://gateoverflow.in/25090/tifr2012-b-4
http://gateoverflow.in/19499/tifr2010-maths-b-6
http://gateoverflow.in/19351/tifr2010-maths-a-5
http://gateoverflow.in/3528/gate2007-it_76
http://gateoverflow.in/3529/gate2007-it_77
http://gateoverflow.in/27322/tifr2014-b-15