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Elasticity

For an atomic integral domain R (i.e., one in which every nonzero nonunit can be factored as a product of irreducible elements) with I(R) the set of irreducible elements, the elasticity of R is defined as

rho(R)=sup{m/n: exists alpha_1,...,alpha_n,beta_1,...,beta_m in I(R) with alpha_1...alpha_n=beta_1...beta_m}.

This entry contributed by Nick Hutzler

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References

Anderson, D. F. and Chapman, S. T. "On the Elasticities of Krull Domains with Finite Cyclic Divisor Class Group." Comm. Alg. 28, 2543-2553, 2000.

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Elasticity

Cite this as:

Hutzler, Nick. "Elasticity." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Elasticity.html

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