Cancellation law for Riemannian direct product
نویسندگان
چکیده
منابع مشابه
Cancellation of digraphs over the direct product
In 1971 Lovász proved the following cancellation law concerning the direct product of digraphs. If A, B and C are digraphs, and C admits no homomorphism into a disjoint union of directed cycles, then A × C ∼= B × C implies A ∼= B. On the other hand, if such a homomorphism exists, then there are pairs A ≁= B for which A×C ∼= B×C . This gives exact conditions on C that governwhether cancellation ...
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Given graphs A, B and C for which A × C ∼= B × C, it is not generally true that A ∼= B. However, it is known that A × C ∼= B × C implies A ∼= B provided that C is non-bipartite, or that there are homomorphisms from A and B to C. This note proves an additional cancellation property. We show that if B and C are bipartite, then A×C ∼= B × C implies A ∼= B if and only if no component of B admits an...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1984
ISSN: 0025-5645
DOI: 10.2969/jmsj/03610053