Title of article :
quadratic structures associated to (multi)rings
Author/Authors :
roberto, k.m.d.a. universidade de sao paulo - instituto de matematica e estatıstica, sao paulo, brazil , ribeiro, h.r.d.o. universidade de sao paulo - instituto de matematica e estatıstica, sao paulo, brazil , mariano, h.l. universidade de sao paulo - instituto de matematica e estatıstica, sao paulo, brazil
Abstract :
we consider certain pairs (a, t) where a is a (multi)ring andt ⊆ a is a multiplicative set that generates, by a convenient quotient construction,a (multi)structure that supports a quadratic form theory: withsome natural hypotheses we generalize constructions previously presentedin [3] and [6]. this also provides some steps towards an abstract formallyreal quadratic form theory (non necessarily reduced) were the forms havegeneral coefficients (non only units).
Keywords :
quadratic forms , special groups , real semigroup , multirings , hyperfields
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
