https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:23853 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 ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:23925 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 ]]>