Algebra

                GROUP THEORY     &     RING THEORY

• Notes from the classroom(taught by professor Dustin Cartwright)

• Some problems with solutions(by Dimitrios Nikolakopoulos(me))

• Greek notes(taught by professor Dimitrios Chatzakos) Fall 2022

• Books: 

  1. 1. Abstract Algebra, D. S. Dummit and R. M. Foote

     2. An introduction to the theory of groups, J. J. Rotman

     3. Advanced Modern Algebra, J. J. Rotman

                MODULE THEORY     &     GALOIS/FIELD THEORY

• Notes from the classroom(taught by professor Shashikant Mulay)

• Notes from MIZZOU MATH Fall 2023 (taught by professor Dana Weston)

• Greek notes-GaloisTheory(by Dimitrios Nikolakopoulos(me)) Spring 2021

  1. 1. Θεωρία Galois, Θ.Θ. Αποστολίδη και Χ. Χαραλάμπους

     2. Πρόχειρες σημειώσεις Θεωρία Galois, Μιχάλης Μαλιάκας

     3. Εισαγωγή στη Θεωρία Galois, Γεώργιος Κασαπίδης

• Books: 

  1. 1. Abstract Algebra, D. S. Dummit and R. M. Foote

     2. Algebra, T. W. Hungerford

                         ARITHMETIC GEOMETRY

• Notes from the classroom(taught by professor Shashikant Mulay) Spring 2023

  1. 1. Existence and equicardinality of bases

     2. Flat-ness and Going Down Property

• Some problems with solutions(by Dimitrios Nikolakopoulos(me))

  1. 1. Has only finitely many points

     2. Factors of homogeneous polynomials are homogeneous

     3. Exercises with no solutions

• Greek notes(by Dimitrios Nikolakopoulos(me))

• Books: 

  1. 1. Algebraic Geometry and Arithmetic Curves, Q. Liu

     2. Algebraic Geometry, R. Hartshorne

     3. Algebraic Geometry - A First Course, J. Harris

     4. Arithmetic and Algebraic Geometry Notes, Shou-Wu Zhang

     5. Introduction to Arithmetic Geometry, Bjorn Poonen

                         ARITHMETIC GEOMETRY

• Notes from the classroom(taught by professor Shashikant Mulay) Spring 2023

• Some problems with solutions(by Dimitrios Nikolakopoulos(me))

  1. 1. Exercises with no solutions

• Greek notes(by Dimitrios Nikolakopoulos(me))

• Books: 

  1. 1. Algebraic Geometry, R. Hartshorne

     2. Algebraic Geometry - A First Course, J. Harris

     3. Algebraic Number Theory, A. Fröhlich and M. J. Taylor