Diversity in inside factorial monoids
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 3, pp. 811-827.

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In a recent paper (Diversity in Monoids, Czech. Math. J. 62 (2012), 795–809), the last two authors introduced and developed the monoid invariant “diversity” and related properties “homogeneity” and “strong homogeneity”. We investigate these properties within the context of inside factorial monoids, in which the diversity of an element counts the number of its different almost primary components. Inside factorial monoids are characterized via diversity and strong homogeneity. A new invariant complementary to diversity, height, is introduced. These two invariants are connected with the well-known invariant of elasticity.
DOI : 10.1007/s10587-012-0047-0
Classification : 11B75, 11N80, 13A05, 20M05, 20M14
Mots-clés : factorization; monoid; elasticity; diversity 
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Krause, Ulrich; Maney, Jack; Ponomarenko, Vadim. Diversity in inside factorial monoids. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 3, pp. 811-827. doi : 10.1007/s10587-012-0047-0. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0047-0/

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