Some generalized quadratic functional equations on monoids
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DOI: 10.1007/s00010-019-00690-5
Abstract: We solve two Pexiderized extensions of the quadratic functional equation on monoids. The equation is extended by replacing the group inversion in the classical quadratic equation with an involution, which may be either homomorphic or… read more here.
Keywords: equations monoids; functional equations; quadratic functional; generalized quadratic ... See more keywords
APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of The Australian Mathematical Society"
DOI: 10.1017/s0004972720000106
Abstract: ‎A system of quadratic forms is associated to every generalized quadratic form over a division algebra with involution of the first kind in characteristic two‎. ‎It is shown that this system determines the isotropy behaviour… read more here.
Keywords: systems quadratic; quadratic forms; generalised quadratic; generalized quadratic ... See more keywords