Irreducible tensors for the groupSU 3

The explicit determination of the matrix elements of theSU ₃ irreducible tensors is carried out by a purely algebraic method. These expressions may be used to compute the Clebsch-Gordan coefficients by orthogonalisation. For the special case of (0,q) tensors simple formulas are derived.In partial fulfillment for the requierements of the doctoral degree at the Institute of Physics of the Academy.     

Polarographisches Verhalten von 1,2,3-Cyclohexantrion-trioxim in sauren Lösungen

The deoximation kinetics of 1,2,3-cyclohexanetrione trioxime was studied polarographically in 0.5 and 1.0M-HClO₄ solutions. From the three vicinal oxime groups, that in position 2 is hydrolysed by protonisation, followed by water uptake and hydroxylamine loss. The probable mechanism of the deoximation was proved by the study of the polarographic behaviour of 1,2,3-cyclohexanetrione-1,3-dioxime and by means of amperometric determination of the unchanged trioxime with Ni(II)-salt.     

Aktivierungsenergie des H2O2-Zerfalls im mikroheterogenen System in Gegenwart von Hydrosolen röntgenamorpher Eisen (III)-hydroxide

Zusammenfassung Die Hydrosole des röntgenamorphen Eisen (III)-hydroxids und seines Polymerysationsprodukts katalysieren in einer Reaktion I. Ordnung mit verschiedener Geschwindigkeit den H₂O₂-Zerfall, der bei 27° und 37° untersucht wurde. Auch die daraus berechneten Aktivierungsenergien ergaben differente Werte.     

Alcune classi di epimorfismi d’anelli

Riassunto Si indicano una costruzione e alcune proprietà del morfismo terminale nella categoria degli epimorfismi iniettivi di dato dominioA, conA anello commutativo unitario ridotto. Si considerano poi certi epimorfismi di dominioA, detti ?S-spezzamenti irriducibili? (S⊂A). GliS-spezzamenti irriducibili a codominio ridotto risultano parametrizzati (a meno di isomorfismi) dai chiusi di una opportuna topologia su SpecA.

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Summary LetA be any reduced commutative ring with 1. Consider the category of injective ring-epimorphisms with domainA. In the first part of this paper, a construction and some properties of a final morphism in the above category are shown. In the second part, some special epimorphisms with domainA are considered, which are called irreducible ?S-spezzamenti?. A parametrization of the collection of irreducible ?S-spezzamenti? (up to isomorphisms) is given, by the collection of closed sets of a suitable topology on SpecA.

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Lavoro eseguito nell’ambito del Gruppo Nazionale Strutture Algebriche e Geometriche e Applicazioni del C.N.R.