Ruth Moufang: Facts, Discussion Forum, and Encyclopedia Article

Ruth Moufang

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	Topics Ruth Moufang Topic Home Ruth Moufang was a GermanGermany Germany , officially the Federal Republic of Germany , is a country in central Europe.... mathematicianFacts About Mathematician A mathematician is a person whose primary area of study and research is the field of mathematics.... . Born on January 10th, 1905 in Darmstadt, Germany to the German chemist Dr. Eduard Moufang, she studied mathematics at the University of Frankfurt. In 1931 she received her Ph.D. on projective geometryProjective geometry Projective geometry is a non-metrical form of geometry that emerged in the early 19th century.... under the direction of Max DehnMax Dehn Max Dehn was a German mathematician.... , and in 1932 spent a fellowship year in Rome. After her year in Rome, she returned to Germany to lecture at the University of Konigsberg and the University of FrankfurtUniversity of Frankfurt Overview University of Frankfurt may refer to two German universities:... . Her research in projective geometry built upon the work of David HilbertDavid Hilbert David Hilbert was a German mathematician, recognized as one of the most influential and universal mathematicians of the 19t... . She was responsible for ground-breaking work on non-associativeFacts About Non-associative algebra In mathematics, non-associative algebra is a subfield of abstract algebra, in which are studied algebraic structures endowed... algebraic structureAlgebraic structure In universal algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or ... s, including the Moufang loopMoufang loop Summary In mathematics, a Moufang loop is a special kind of algebraic structure.... s named after her. Her most important contribution to the foundations of geometry was the discovery that by replacing the incidence theorem of Desargues with the theorem of the complete quadrilateral (also known as the invariance of the fourth harmonic point) together with the incidence axioms of Hilbert, you obtain an alternativeFacts About Alternative algebra In abstract algebra, an algebra is called alternative if y = x and y = x for all x and y in the alge... division algebraDivision algebra In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field in whi... instead of a skew field. Denied permission to teach by Hitler's minister of education, she worked in private industry until 1946, when she became the first woman professor at the University of FrankfurtUniversity of Frankfurt University of Frankfurt may refer to two German universities:... .