一些集的基数(Ⅸ) |
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引用本文: | 杨安洲.一些集的基数(Ⅸ)[J].数学研究及应用,1983,3(3):36-36. |
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作者姓名: | 杨安洲 |
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摘 要: | Let X be an infinite set, C={G:G is a group defined on the X}, Define {H:H is isomorphic to G}, C_2={C & G js not commutative},then |C_2|=2 If K={F:F is a division ring defined on the X},K_1={K & F is not com mutative}, K_2={K & F is commutative},then |K_1| = IK2t --2:s~. Suppose T(X) {X~X & qψis bijective},S={G:G is a subgroup of T(X)},S_1={S & G is commutative}, S_2={S & G is not commutative},then |S_1|=|S_2|=2~(2~(|x|)).
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收稿时间: | 1983/4/29 0:00:00 |
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