I. N. Herstein Topics in Algebra On Sun, Oct 11, 2009 at 5:13 PM, Owen Densmore <[email protected]> wrote:
> What's everyone's favorite modern/abstract algebra book? By that I mean a > book on algebraic structures, including:(From Wikipedia) > *Algebraic structures*<http://en.wikipedia.org/wiki/Algebraic_structure> > *Magma* <http://en.wikipedia.org/wiki/Magma_%28algebra%29> > Set <http://en.wikipedia.org/wiki/Set_%28mathematics%29> *S* with binary > operation <http://en.wikipedia.org/wiki/Binary_operation> + > *Semigroup* <http://en.wikipedia.org/wiki/Semigroup> > Associativity <http://en.wikipedia.org/wiki/Associativity> of + > *Monoid* <http://en.wikipedia.org/wiki/Monoid> > Existence of identity > element<http://en.wikipedia.org/wiki/Identity_element>for + in > *S* > *Group* <http://en.wikipedia.org/wiki/Group_%28mathematics%29> > Existence of inverse > elements<http://en.wikipedia.org/wiki/Inverse_element>for + in > *S* > *Abelian group* <http://en.wikipedia.org/wiki/Abelian_group> > Commutativity <http://en.wikipedia.org/wiki/Commutativity> of + > *Pseudo-ring* <http://en.wikipedia.org/wiki/Pseudo-ring> > Associative binary operation · > Distributivity <http://en.wikipedia.org/wiki/Distributivity> of · over + > *Ring* > Existence of identity element for · in *S* > *Commutative ring* <http://en.wikipedia.org/wiki/Commutative_ring> > Commutativity of · > *Field* <http://en.wikipedia.org/wiki/Field_%28mathematics%29> > Existence of inverse elements for · in *S* > .. and linear algebra too would be part of the tree. > > Basically good, very > clear, hopefully fun or brief .. both would be hard to believe in! A book > along the line of Linear > Algebra Done Right by Sheldon Axler. > > Please do not ask why I would care about theory! > > -- Owen > > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org >
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org
