Empty product (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Empty product" in English language version.

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ams.org

Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, p. 9, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001

Edsger Wybe Dijkstra (1990-03-04). "How Computing Science created a new mathematical style". EWD. Retrieved 2010-01-20. Hardy and Wright: 'Every positive integer, except 1, is a product of primes', Harold M. Stark: 'If n is an integer greater than 1, then either n is prime or n is a finite product of primes'. These examples — which I owe to A. J. M. van Gasteren — both reject the empty product, the last one also rejects the product with a single factor.
Edsger Wybe Dijkstra (1986-11-14). "The nature of my research and why I do it". EWD. Retrieved 2024-03-22. But also 0 is certainly finite and by defining the product of 0 factors — how else? — to be equal to 1 we can do away with the exception: 'If n is a positive integer, then n is a finite product of primes.'

Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (Revised third ed.), New York: Springer-Verlag, p. 9, ISBN 978-0-387-95385-4, MR 1878556, Zbl 0984.00001