## Abstract In the present note we give a direct deduction of the Axiom of Choice from the Maximal Ideal Theorem for commutative rings with unit. Mathematics Subject Classification: 03E25, 04A25, 13A15.
A New Proof that π
✍ Scribed by Richard Gostanian; Karel Hrbacek
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 146 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0044-3050
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A short and elementary proof is given of the known result that a 1-(v,/~, r) design with b blocks exists if and only if vr = bk and b <~ (~). A 1-(v, k, r) design is a set of b k-sets, called blocks, chosen from a v-set, say V, so that no two blocks are the same and each clement of V occurs exactly
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