Let T be ring containing elements e, f, both # 0T, such that e + f = 1r , e² = e, f² = f , and e · f = 0r . Show that then the ideals R := T · e and S := subrings of T, and that the ring T is isomorphic to the ring R x S defined in 1) above. T f are rings but not

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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