Rings and Their Modules .... ....

[Math Amateur]

For those MHB members who are interested in the theory of rings and their modules at the advanced undergraduate and beginning graduate levels it is hard to go past the book by Paul E. Bland and the book by Berrick and Keating ... namely ...

"Rings and Their Modules" by Paul E. Bland (De Gruyter 2011) [452 pages]

"An Introduction to Rings and Modules: With K-Theory in View" by A.J. Berrick and M.E. Keating (Cambridge University Press, 2000) [265 pages]

It is helpful, however, when finding a topic difficult, to have some alternate sources of theory development and presentation ... and two books I have come across are useful in that (if a bit challenging). One is an older book and the other is comparatively hot off the press from China ... details of the books are as follows:

"Rings and Categories of Modules" (Second Edition) by Frank W. Anderson and Kent R. Fuller (Springer-Verlag 1992) [376 pages]

"Foundations of Commutative Rings and Their Modules" by Fanggui Wang and Hwankoo Kim (Springer 2016) [699 pages]Members interested in ring and module theory may wish to check these books out on Amazon or other web sites ...

Peter

 

[lofgran]

, thank you for sharing these resources with the MHB community! I have not personally read these books, but as a fellow scientist, I can appreciate the value of having multiple sources for learning and understanding a complex topic. It's always helpful to have different perspectives and approaches to a subject, especially when it comes to advanced topics like ring and module theory.

I am particularly intrigued by the book "Foundations of Commutative Rings and Their Modules" by Wang and Kim. It's always interesting to see how different countries and cultures approach mathematical concepts, and I think it will be exciting to see how the Chinese perspective is reflected in this text.

I hope that other MHB members interested in ring and module theory will take advantage of these resources and continue to expand their knowledge and understanding of this fascinating subject. Thank you again for sharing!