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The proof of the following theorem known till now is based on the martingale theory (see e.g. We give a \pure dyadic analysis" proof for it.. Theorem 5. [AVD]), then can be

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An analogue of the Kunz–Frobenius criterion for the re- gularity of a local ring in a positive characteristic is established for general commutative semigroup rings.. Let S be

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So, within 20 or 30 years the city will lag behind, having a railroad which has not yet been paid for; which does not contribute enough to sustainable development; and which cannot

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Greater responsibilities at the school level have resulted in greater pressure from a wide range of sources, including govern- ment and the teaching profes- sion, for a more