Скачать или смотреть Lecture-5 Fields || Ring Theory || Joseph A. Gallian Book

Lecture-5 Fields || Ring Theory || Joseph A. Gallian Book #ringtheory #bsc #net #delhiuniversity

This lecture introduces the fundamental concepts of Ring Theory, following Joseph A. Gallian's book. Ideal for students preparing for CSIR-NET, GATE, IIT JAM, and BSc Mathematics courses.


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#Fields #AbstractAlgebra #BScMaths #dustudents

Topics Covered:
0:00 Definition of Field
2:56 Examples of Field
4:00 Every Field is an Integral Domain but converse is not true. (Proof)
8:16 Example of an Integral Domain which is not a field.
9:23 Every finite Integral Domain is a Field. (Proof)
19:10 ℤₚ is a field iff p is prime. (Proof)
26:11 A Field with nine elements. (Example)
35:20 Prove that ℚ[√2] is a Field.

#ring #ringtheory #bsc #net #aceyourexams #algebra #RingTheory #AbstractAlgebra #CSIRNET #GATE2025 #BScMathematics #JosephGallian #MathLecture #IITJAM #UGCNET #field