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Full Elasticity in Atomic Monoids and Integral Domains

Full Elasticity in Atomic Monoids and Integral Domains

Let M be a commutative cancellative atomic monoid and M * its set of nonunits.Let ρ(x) denote the elasticity of factorization ofWe call an atomic integral domain D fully elastic if its multiplicative monoid, denoted D • , is fully elastic.We examine the full elasticity property in the context of …