Walks with jumps: a neurobiologically motivated class of paths in the hyperbolic plane. [PDF]
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Rank and Status in Semigroup Theory
Communications in Algebra, 2004Abstract For each generating set A of a finite semigroup S the integer Δ(A) is defined as the least n for which every element of S is expressible as a product of at most n elements of A. The status of S is defined as the least value of |A|Δ(A) among generating sets of A.
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THE HOMOTOPY THEORY OF INVERSE SEMIGROUPS
International Journal of Algebra and Computation, 2002We show that abstract homotopy theory can be used to define a suitable notion of homotopy equivalence for inverse semigroups. As an application of our theory, we prove a theorem for inverse semigroup homomorphisms which is the exact counterpart of the well-known result in topology which states that every continuous function can be factorized into a ...
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