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.
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[@xahiru]

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

[@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).

[@timurpryadilin8830]

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

[@crossgibson6986]

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

[@user-pk2qc5yq3c]

Would love to see a video about ring of invariants

[@markbeukeboom7815]

you are a very good teacher thank you

[@pinklady7184]

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

[@Ferolii]

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

[@music_lyrics-ni7ks]

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

[@mrparam918]

Video on rings of invariant would be highly appreciated Prof Penn

[@TheOneThreeSeven]

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

[@joymenezes3959]

Rings of invariants please:)

[@ezequielangelucci1263]

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

[@hrishabhayush4631]

Try out inmo(indian national maths Olympiad(

[@lexinwonderland5741]

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!

[@michaelempeigne3519]

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

[@mehdifachel2057]

Tres interessant svp pouvez vous sous titres en francais

[@Monolith-yb6yl]

I want this video :)

[@benjamimapancake6429]

you're gonna have a good time

[@rajneshyadav9654]

waiting for rings of invariants

[@depressedguy9467]

After years still no ring invariant

[@BeattapeFactory]

noice