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 Wysłany: Czw 13:43, 23 Gru 2010 Temat postu: air jordan shoes cheap Export ring on the ring _13 |
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Export ring on the ring
83;) and with unit U in the loop (foot ,+,[link widoczny dla zalogowanych],・) for reversible element, so: BU I \_. + Yu_. A )+()~ o (xy, = (xy) u '= x (u a u) yu a (xu) U (yu 。。)=( z).) So is a ring (feet ,+,・) and (ft, +,) isomorphism. So (feet .+,・) blue (scale, +, W) (the proof) we call (ft, +, W) as the ruler of the first export the Central Theorem 2 feet is an arbitrary ring with unit ∈ feet, if there are invertible element in the foot P, q so qvp-, then (ft, +,) blue (scale, a,) card: for Central (ft, +,) to the ring (R, +, i) of the map: zpxq is because p, are invertible head, it is clearly between the two circles above a two-shot, and ten Y) I () I () and secondly because qvp = \~ o (xuy) = pxuyq = pxq'q a up'Pyq-pxq ・ ・ PYq =()() that (ft, +,) blue (scale ,+.)( completes the proof of) Theorem 3 Let ft be a ring , \ring denoted by (feet, 0,..) It (ft ,+,・) isomorphic. Permit: First of all, obviously 0 and. is a collection of two-foot algebra; followed by further orders: - are apparently set foot to own a double shot, fork Because +) a (+ y) one by one 【+ \. 6 years old. Lecturer. 198ti Rights on 7 completed r Hill seeking handsome Fan Department of Mathematics, Imperial College. Business Management Cantonese and other mathematics. Boxes of the Teaching of financial power l '92 Qingdao University of bamboo Volume 14). ) I (_ working ten \TU + uy + \+ \on and ④. also ring. and both with the structure. (proof) We call Central (feet, ④,.) feet for the second ring ring inferences derived mouth part (foot,[link widoczny dla zalogowanych], one. *) and ring ( feet, ④,[link widoczny dla zalogowanych],.) assumptions as in Theorem 3,[link widoczny dla zalogowanych], then in the ring (feet. ④,.), the \) with unit (indicated by 1) time. Ring (R, ①,.) Also has units of dollars. Is 1 + \.) unit of dollars. The following further evidence, in a sense, under the converse of Theorem 3 is also established. Theorem 4 Let ft be a ring, ① is a collection of foot and two new algebra. , Feet, ①,) set foot in the new operation is made under the ring, if the map: +. (Which is a fixed element of foot) below the ring (feet, ten. *) And Central (feet, ④, i) with the structure,[link widoczny dla zalogowanych], the ① and i is Theorem 3, respectively, and in ①. Ie (R. ①,) = (R, ④, a) Certificate: As the scale of any element of z, Y has a \) I (A \3 ④, ie d ① b a b a ten \y, (a \operations in the Theorem 3. that is d. b: Ⅱ 6 A Ⅱ a \④,. ), That is, under the map. ④ with a new operator and is uniquely determined. (Proof) References] [1 NG product III. Modern Algebra [M] Beijing: People's Education Publishing Du. 198 (* [2] bears all flooded. Modern Algebra [M], Wuhan University Press.】 991 [3] HungerfordTW. Algebra [Mj.1985
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