How does one find $a$ for which $h=[0,1]$ is a stable part of $R$ in relation to the following algebric operation: $$x*y = x+y-xy-ax-ay+a$$
Find a for which H=[0,1] is a stable part of R in relation to a given algebric operation
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abstract-algebra
group-theory
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0I tried using the fact that, for any x,y in H, x*y must be in H, but I didn't get far with that. – 2017-01-11
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0So, you haven't tried plugging values in for $a$?!?? – 2017-01-11
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0That I have not tried – 2017-01-11