55 research outputs found

    The automorphisms of Petit's algebras

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    Let σ be an automorphism of a field K with fixed field F. We study the automorphisms of nonassociative unital algebras which are canonical generalizations of the associative quotient algebras K[t; σ]=fK[t; σ] obtained when the twisted polynomialf 2 K[t; σ] is invariant, and were first defined by Petit. We compute all their automorphisms if V commutes with all automorphisms in AutF (K) and n < m-1. In thecase where K=F is a finite Galois field extension, we obtain more detailed information on the structure of the automorphism groups of these nonassociative unital algebras over F. We also briefly investigate when two such algebras are isomorphic

    Beta-delayed fission and calculations of the beta strength function

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    The different decay modes of neutron-rich heavy nuclei are of considerable interest for a wide range of physical phenomena. The study of these decay modes involves information about several properties of the nucleus where at the moment more knowledge about the beta strength function is particularly wanted. The microscopic calculations of the beta strength are described and the sensibility of the beta-delayed fission branching ratios and the production ratios of cosmochronometric pairs to different shapes of the beta strength function are discussed. (14 refs)
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