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10 Nov 2019
(1) Let Ge,g.gy be the group of order 3, that is g e and consider the ring where and (a) Determine the additive and multiplicative identity elements of R (b) Show that e: R- given by e(ae + bg + cz) = a + b + c is a homomorphism. (c) Show that K = ker(e) is a maximal ideal. (d) Show that K = (g-e), i.e. ig-le. (e) Find an /(z) E such that R ì¶ Qlrl/U(z)). (f) Is R an integral domain?
(1) Let Ge,g.gy be the group of order 3, that is g e and consider the ring where and (a) Determine the additive and multiplicative identity elements of R (b) Show that e: R- given by e(ae + bg + cz) = a + b + c is a homomorphism. (c) Show that K = ker(e) is a maximal ideal. (d) Show that K = (g-e), i.e. ig-le. (e) Find an /(z) E such that R ì¶ Qlrl/U(z)). (f) Is R an integral domain?
Keith LeannonLv2
22 Aug 2019