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Serge Lang (French:; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra .
Download as PDF; Printable version; ... ; it is an instance of idealizer in commutative algebra. ... Lang, Serge (2005). Undergraduate Algebra ...
Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size.
Linear algebra is the branch of mathematics concerning ... Lang, Serge (March 9, 2004), Linear Algebra, ... 1998), Linear Algebra, Undergraduate Texts in Mathematics ...
Serge Lang published a book Diophantine Geometry in the area in 1962, and by this book he coined the term "Diophantine geometry". [1] The traditional arrangement of material on Diophantine equations was by degree and number of variables, as in Mordell's Diophantine Equations (1969).
The condition was first introduced and studied by Lang. [10] If a field is C i then so is a finite extension. [11] [12] The C 0 fields are precisely the algebraically closed fields. [13] [14] Lang and Nagata proved that if a field is C k, then any extension of transcendence degree n is C k+n.
Steinberg () gave a useful improvement to the theorem.. Suppose that F is an endomorphism of an algebraic group G.The Lang map is the map from G to G taking g to g −1 F(g).. The Lang–Steinberg theorem states [3] that if F is surjective and has a finite number of fixed points, and G is a connected affine algebraic group over an algebraically closed field, then the Lang map is surjective.
However, Serge Lang conjectured an improvement of Roth's result; in particular he conjectured that q 2+ε in the denominator of the right-hand side could be reduced to () +. Roth's work effectively ended the work started by Liouville, and his theorem allowed mathematicians to prove the transcendence of many more numbers, such as the ...