Use the3rd SylowThmProvekernel= 0Define agroupactionSay thatZorn'sLemma islogically ACFindcounterexampleSvetagivesexample#0Say that oneelementdividesanotherProveinjectivityAdjoinx to aringProve agroup iscyclicSvetawrites "R-module"Prove abiconditionalProve agroup isnotAbelianSvetamentionsthat we onlywork withcomm. ringsTake adirectsumProve agroup isAbelianSveta says"finitelygenerated"Svetawrites"EXR" inredSveta writesthe symbolfor propersubsetSvetawrites"Slogan"∃!ProvesurjectivityProvesomethingis torsion-freeUse 1stIsomThmUse the3rd SylowThmProvekernel= 0Define agroupactionSay thatZorn'sLemma islogically ACFindcounterexampleSvetagivesexample#0Say that oneelementdividesanotherProveinjectivityAdjoinx to aringProve agroup iscyclicSvetawrites "R-module"Prove abiconditionalProve agroup isnotAbelianSvetamentionsthat we onlywork withcomm. ringsTake adirectsumProve agroup isAbelianSveta says"finitelygenerated"Svetawrites"EXR" inredSveta writesthe symbolfor propersubsetSvetawrites"Slogan"∃!ProvesurjectivityProvesomethingis torsion-freeUse 1stIsomThm

We Love Algebra <3 - Call List

(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


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  1. Use the 3rd Sylow Thm
  2. Prove kernel = 0
  3. Define a group action
  4. Say that Zorn's Lemma is logically AC
  5. Find counterexample
  6. Sveta gives example #0
  7. Say that one element divides another
  8. Prove injectivity
  9. Adjoin x to a ring
  10. Prove a group is cyclic
  11. Sveta writes "R-module"
  12. Prove a biconditional
  13. Prove a group is not Abelian
  14. Sveta mentions that we only work with comm. rings
  15. Take a direct sum
  16. Prove a group is Abelian
  17. Sveta says "finitely generated"
  18. Sveta writes "EXR" in red
  19. Sveta writes the symbol for proper subset
  20. Sveta writes "Slogan"
  21. ∃!
  22. Prove surjectivity
  23. Prove something is torsion-free
  24. Use 1st Isom Thm