nhaliday + algebra   70

Structure theorem for finitely generated modules over a principal ideal domain - Wikipedia
- finitely generative modules over PID isomorphic to sum of quotients by decreasing sequences of proper ideals
- never really understood the proof of this in Ma5b
math  algebra  characterization  levers  math.AC  wiki  reference  nibble  proofs  additive  arrows 
february 2017 by nhaliday
nt.number theory - Is $x^{2k+1} - 7x^2 + 1$ irreducible? - MathOverflow
Here is a proof, based on a trick that can be used to prove that x^n+x+1 is irreducible when n≠2 mod 3.
q-n-a  overflow  math  algebra  tidbits  math.NT  contradiction  polynomials  nibble  multiplicative 
january 2017 by nhaliday
infinitely divisible matrices
the use of Hilbert spaces for establishing matrices are Gram matrices (and hence PSD) is interesting
tidbits  math  algebra  pdf  yoga  linear-algebra  inner-product  positivity  signum 
august 2016 by nhaliday
Opetopic - Home
Opetopic is an experimental graphical proof assistant for higher category theory.
math  algebra  worrydream  visualization  tools  ide  math.CT 
july 2016 by nhaliday

bundles : academeframemath

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