Displaying similar documents to “A note on homogeneous production models”

Diversity in monoids

Jack Maney, Vadim Ponomarenko (2012)

Czechoslovak Mathematical Journal

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Let M be a (commutative cancellative) monoid. A nonunit element q ∈ M is called almost primary if for all a , b ∈ M , q ∣ a b implies that there exists k ∈ ℕ such that q ∣ a k or q ∣ b k . We introduce a new monoid invariant, diversity, which generalizes this almost primary property. This invariant is developed and contextualized with other monoid invariants. It naturally leads to two additional properties (homogeneity and strong homogeneity) that measure how far an almost primary element is from being primary. Finally,...