MA232: Abstract Algebra II
Free Closed [?]
This course is a continuation of Abstract Algebra I: we will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms. We will also take a look at ring factorization, which will lead us to a discussion of the solutions of polynomials over abstracted structures instead of numbers sets. We will end the section on rings with a discussion of general lattices, which have both set and logical properties, and a special type of lattice known as Boolean algebra, which plays an important role in probability. We will also visit an important topic in mathematics that you have likely encountered already: vector spaces. Vector spaces are central to the study of linear algebra, but because they are extended groups, group theory and geometric methods can be used to study them. Later in this course, we will take a look at more advanced topics and consider several useful theorems and counting methods. We will end the course by studying Galois theoryone of the most im…
-- no reviews yet -- make the first review
If you know any alternatives, please let us know.
If you can suggest any prerequisite, please let us know.
See all Education Paths
If your company does certification for those who completed this course then register your company as certification vendor and add your exams to the Exams Directory.
People who learned this course or plan to learn. These people added the course to their Education Passport or their Personal Education Path.Alberto Mesa Andrey Kirillov Derek FENG 冯策 Iordanis Kalaitzoglou Mohsin Zafar Pavlo Varoon Silochan Vyacheslav Boychenko Ольга Ларькина Рустем Жумагулов
If you learned this course or plan to learn then add it to your Personal Education Path or your Education Passport
Courses related to the course subject
Let us know when you did the course MA232: Abstract Algebra II.
Add the course MA232: Abstract Algebra II to My Personal Education Path.
Successfully added to your path.View your path
Select what exam to connect to the course. The course will be displayed on the exam page in the list of courses supported for certification with the exam.