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Basics of Algebra: Groups, Rings, Modules

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Algebraic Foundations for Applied Topology and Data Analysis

Part of the book series: Mathematics of Data ((MPI-MIS MD,volume 1))

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Abstract

The previous chapter covered linear algebra, and in this chapter we move on to more advanced topics in abstract algebra, starting with the concepts of group and ring.

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References

  1. D. Cox, J. Little, D. O’Shea, Ideals, Varieties and Algorithms, third edition, Undergraduate Texts in Math., Springer, New York, 2007.

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  2. D. Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Graduate Texts in Math. 150, Springer, New York, 2000.

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Schenck, H. (2022). Basics of Algebra: Groups, Rings, Modules. In: Algebraic Foundations for Applied Topology and Data Analysis. Mathematics of Data, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-031-06664-1_2

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