Modules & Algebra of Matrices: Intro Book Recommendations

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The discussion centers around recommendations for introductory books on modules and the algebra of matrices. A notable suggestion is Herstein's "Topics in Algebra, Second Ed." which provides a careful introduction to modules and applies the theory to linear transformations. However, some participants note that while the book covers groups and rings well, it lacks depth on modules. Another book by Herstein, "Topics in Ring Theory," is mentioned as potentially offering more content on modules. Additionally, there is a reference to free algebra notes available on a personal webpage, with one participant commenting on the density of the material, suggesting that printed versions might enhance readability.
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Anyone recommand readable intro books on modules and algebra of matrices?
 
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my algebra notes on my webpage, and they are free.
 
One book I like which offers a very careful introduction to and motivation of modules and then applies the theory to linear transformations is Herstein, Topics in Algebra, Second Ed., Wiley, 1975.
 
Chris Hillman said:
One book I like which offers a very careful introduction to and motivation of modules and then applies the theory to linear transformations is Herstein, Topics in Algebra, Second Ed., Wiley, 1975.

Nice book but not much on modules which is unfortunate. But the other stuff about groups and rings are very nice. I like the font as well.

Apparently there is another book by him called 'Topics in ring theory'. That might have more on modules.
 
Last edited:
mathwonk said:
my algebra notes on my webpage, and they are free.

It seemed a bit dense in every sense of the word. Maybe it might work better had I printed them out.
 

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