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${session.getAttribute("locale")}5Rees semigroups of digraphs for classification of data
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S of the Rees semigroup of a digraph and for every zero-divisor-free idempotent semiring F with identity element, our main theorem describes all ideals J in the semigroup semiring F₀[S] such that J has the largest possible weight.]]>Sat 24 Mar 2018 07:12:11 AEDT]]>Growth degree classification for finitely generated semigroups of integer matrices
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A be a finite set of d x d matrices with integer entries and let m_{n}(Α) be the maximum norm of a product of n elements of A. In this paper, we classify gaps in the growth m_{n}(Α); specifically, we prove that lim_{n→∞}log m_{n}(A)/log n ∈ℤ≥₀⋃{∞}. This has applications to the growth of regular sequences as defined by Allouche and Shallit.]]>Sat 24 Mar 2018 07:10:14 AEDT]]>