We define the Zappa-Szép product of a Fell bundle by groupoid, which turns out to be over underlying groupoids. Under certain assumptions, every groupoids arises in this manner. then study representation associated with and show its relation covariant representations. Finally, we universal C⁎-algebra, C⁎-blend, generalizing an earlier result about groupoid C⁎-algebras. In case discrete groups, ...

AFFILIATIONS: moum, de szoeke, smyth, aNd mouliN—College of Earth, Ocean and Atmospheric Sciences, Oregon State University, Corvallis, Oregon; edsoN—Department of Marine Sciences, University of Connecticut, Groton, Connecticut; deWitt—NOAA/Pacific Marine Environmental Laboratory, Seattle, Washington; thomPsoN, rutledge, aNd JohNsoN— Department of Atmospheric Sciences, Colorado State University,...

The aim of this paper is to study semigroups possessing E-regular elements, where an element a of a semigroup S is E-regular if a has an inverse a◦ such that aa◦, a◦a lie in E ⊆ E(S). Where S possesses ‘enough’ (in a precisely defined way) E-regular elements, analogues of Green’s lemmas and even of Green’s theorem hold, where Green’s relations R,L,H and D are replaced by R̃E , L̃E , H̃E and D̃E . N...

Our research team, Christpher Zappa (Lamont-Doherty Earth Observatory), Michael Banner (LamontDoherty Earth Observatory and University of New South Wales) and Howard Schultz (University of Massachusetts, Amherst), conducted a proof-of-concept study to assess the effectiveness of a new passive optical technique based on polarimetry. Conventional optical remote sensing techniques rely on light am...

In this paper we study some properties of reducible surfaces, in particular of unions of planes. When the surface is the central fibre of an embedded flat degeneration of surfaces in a projective space, we deduce some properties of the smooth surface which is the general fibre of the degeneration from some combinatorial properties of the central fibre. In particular, we show that there are stro...

We prove that left cancellative right hereditary monoids satisfying the dedekind height property are precisely the Zappa-Szép products of free monoids and groups. The ‘fundamental’ monoids of this type are in bijective correspondence with faithful self-similar group actions. 2000 AMS Subject Classification: 20M10, 20M50. 1 A class of left cancellative monoids This paper develops some ideas that...

For a group G, embedded in its of permutations B=Perm(G) via the left regular representation λ:G→B, normalizer λ(G) B is Hol(G), holomorph G. The set ℋ(G) those N≤Hol(G) such that N≅G and NormB(N)=Hol(G) keyed to structure so-called multiple NHol(G)=NormB(Hol(G)), conjugates by NHol(G). We wish generalize this considering certain