Programming of commutative algebra study:

Atiyah-MacDonald::Rings and ideals. David Eisenbud::I-Basic Constructions::Modules. ::Roots of commutative algebra.::Rings and Modules of fractions. :::Number theory::Primary Decomposition :::Algebraic Curves and Function Theory::Noetherian Rings :::Algebra and Geometry: The Nullstellensatz::Dimension Theory :::Proyective varieties

:::Hilbert Functions and polynomials3-Associated primes and primary decompositions

Miles Reid::2-Modules 13:The dimension of affine rings::Noetherian rings::Finite extensions and Noether Normalisation. Gallian::Contemporary Abstract Algebra:5-The Nullstellensatz and Spec(A) ::0-Properties of integers7-Primary decomposition ::Modular arithmetic

::2-Elementary properties of GroupsWickless::First Graduate Course in Abstract Algebra ::Applications of modular arithmetic::1.1.Groups::Factorization in Z ::7-External Direct Products::1.12::The structure of finite Abelian Groups. ::8-Internal Direct Products::2-Rings::2.3 Principal ideal domains ::12-Fundamental theorem of Finite Abelian Groups::2.4 Polynomials ::13-Examples of Rings::2.5 I[x] is a ufd* ::15-Integral Domains

::16-Ideals and Factor Rings::17-18:Ring Homomorphisms and Polynomial Rings::19:Factorization of Polynomials

::Chapter 3 Modules3.1 Elementary concepts 75Seventeenth Problem Set 783.2 Free and projective modules 78Eighteenth Problem Set 813.3 Tensor products 82Nineteenth Problem Set 863.4 Finitely generated modules over a pid

::Fields::22-Extension Fields::23::Algebraic Extensions::24:Finite Fields.::32-Introduction to Algebraic Coding Theory::33-An Introduction to Galois Theory

:::Algebraic Curves and Function Theory:::Algebra and Geometry: The Nullstellensatz

3-Associated primes and primary decompositions

Gallian::Contemporary Abstract Algebra:

::12-Fundamental theorem of Finite Abelian Groups

::17-18:Ring Homomorphisms and Polynomial Rings

::32-Introduction to Algebraic Coding Theory