Abstract Algebra | Irreducibles and Primes in Integral Domains

We define the notion of an irreducible element and a prime element in the context of an arbitrary integral domain. Further, we give examples of irreducible elements that are not prime.

[xahiru]

yeah, a video about rings of invariants would be great. thanks :-)

[crossgibson]

your videos make me feel big brain lol. Great job btw.

[lexinwonderland]

I realize this video is ancient, but nonetheless i noticed how your example references your work on orbifolds; as per the video request, commenting to see more!

[hrishabhayush]

Try out inmo(indian national maths Olympiad(

[timurpryadilin]

I comment because I want to see a video about rings of invariants :)

[mushroomsteve]

In the ring Z[√-5], 2 is irreducible but not prime. We have 2*3 = 6 = (1 + √-5)(1 - √-5), so 2 divides 6. However, 2 does not divide (1 + √-5) and 2 does not divide (1 - √-5).

[FelipeMontealegre-vz]

Would love to see a video about ring of invariants

[Ferolii]

Nice video! One about Galois Theory // Topology would be so nice! ❤️

[pinklady]

Do you ever think of doing book reviews? I love to see your library of maths books.

[TheOneThreeSeven]

I would like to see a video about rings of invariants please =)

[mrparam]

Video on rings of invariant would be highly appreciated Prof Penn

[music_lyrics-niks]

Yes please, a video about rings of invariants would be wonderful 🎉

[michaelempeigne]

a^2 > or = 0 is called the trivial inequality

[ezequielangelucci]

This means that the fundamental theorem of aritmetic doenst function properly when talking about other sets?

[mehdifachel]

Tres interessant svp pouvez vous sous titres en francais