Abstract Algebra, Lec 25B: Ring Ideals, Factor (Quotient) Rings, Prime Ideals, Maximal Ideals
2.5 هزار بار بازدید -
7 سال پیش
-
Define two-sided ideals and principal
Define two-sided ideals and principal ideals in a ring. Discuss factor rings (quotient rings). Define prime and maximal ideals with examples. "Contemporary Abstract Algebra", by Joe Gallian: https://amzn.to/2ZqLc1J. Check out my blog at: https://infinityisreallybig.com/
Abstract Algebra Playlist: Abstract Algebra Course, Lecture 1: I...
(0:00) Lecture B will be theoretical with simple examples: make sure you work hard on the reading before Lecture 26.
(0:35) (Two-Sided) Ideals, proper ideals, "ideal test", and basic examples.
(8:43) Principal ideal generated by an element and examples (and similarities and differences with the idea of a cyclic subgroup generated by a group element).
(15:22) Factor (Quotient) Ring R/A where A is an ideal of R and an example Z/4Z.
(20:21) Prime ideals, maximal ideals, basic examples, and relationship to factor (quotient) rings R/A of a commutative ring with unity R.
AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.
Abstract Algebra Playlist: Abstract Algebra Course, Lecture 1: I...
(0:00) Lecture B will be theoretical with simple examples: make sure you work hard on the reading before Lecture 26.
(0:35) (Two-Sided) Ideals, proper ideals, "ideal test", and basic examples.
(8:43) Principal ideal generated by an element and examples (and similarities and differences with the idea of a cyclic subgroup generated by a group element).
(15:22) Factor (Quotient) Ring R/A where A is an ideal of R and an example Z/4Z.
(20:21) Prime ideals, maximal ideals, basic examples, and relationship to factor (quotient) rings R/A of a commutative ring with unity R.
AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.
7 سال پیش
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