We need to study commutative algebra to solve many problems in algebra, number theory and algebraic geometry. The aim of this course to give an advanced level of algebra for graduate students. The course also contains standart fundamental algebraic facts

Rings and ideals, transformations, Division rings, zero divisors, units, Prime ideal, Maximal ideal, Radicals, Jacobson radical, Some results on ideals, Modules, submodules and quotient modules Finitely generated modules, Direct sum and direct products of modules, Exact sequences, Tensor products of modules, Tensor producs of algebras, Localization of rings, Extentensions and restrictions on quotient rings, Principal decompositions