Abstract Algebra

[Owen Densmore]

What's everyone's favorite modern/abstract algebra book?  By that I mean a book on algebraic structures, including:

(From Wikipedia)

Algebraic structures
Magma	Set S with binary operation +
Semigroup	Associativity of +
Monoid	Existence of identity element for + in S
Group	Existence of inverse elements for + in S
Abelian group	Commutativity of +
Pseudo-ring	Associative binary operation · Distributivity of · over +
Ring	Existence of identity element for · in S
Commutative ring	Commutativity of ·
Field	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
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[Irene Lee]

I. N. Herstein   Topics in Algebra

On Sun, Oct 11, 2009 at 5:13 PM, Owen Densmore <[hidden email]> wrote:

What's everyone's favorite modern/abstract algebra book?  By that I mean a book on algebraic structures, including:

(From Wikipedia)

Algebraic structures
Magma	Set S with binary operation +
Semigroup	Associativity of +
Monoid	Existence of identity element for + in S
Group	Existence of inverse elements for + in S
Abelian group	Commutativity of +
Pseudo-ring	Associative binary operation · Distributivity of · over +
Ring	Existence of identity element for · in S
Commutative ring	Commutativity of ·
Field	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