∃!Say thatZorn'sLemma islogically ACFindcounterexampleDefine agroupactionProvekernel= 0Prove agroup isAbelianProvesomethingis torsion-freeProve agroup iscyclicProve agroup isnotAbelianSvetamentionsthat we onlywork withcomm. ringsUse 1stIsomThmUse the3rd SylowThmProvesurjectivitySveta says"finitelygenerated"Sveta writesthe symbolfor propersubsetProveinjectivitySvetagivesexample#0Say that oneelementdividesanotherTake adirectsumSvetawrites "R-module"Svetawrites"Slogan"Adjoinx to aringSvetawrites"EXR" inredProve abiconditional∃!Say thatZorn'sLemma islogically ACFindcounterexampleDefine agroupactionProvekernel= 0Prove agroup isAbelianProvesomethingis torsion-freeProve agroup iscyclicProve agroup isnotAbelianSvetamentionsthat we onlywork withcomm. ringsUse 1stIsomThmUse the3rd SylowThmProvesurjectivitySveta says"finitelygenerated"Sveta writesthe symbolfor propersubsetProveinjectivitySvetagivesexample#0Say that oneelementdividesanotherTake adirectsumSvetawrites "R-module"Svetawrites"Slogan"Adjoinx to aringSvetawrites"EXR" inredProve abiconditional

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