Provesomethingis torsion-freeSvetagivesexample#0Prove abiconditionalProveinjectivityProve agroup isnotAbelianProve agroup isAbelianSvetawrites "R-module"Say thatZorn'sLemma islogically ACSay that oneelementdividesanotherProve agroup iscyclicSvetawrites"Slogan"Sveta says"finitelygenerated"Svetamentionsthat we onlywork withcomm. ringsProvesurjectivityUse the3rd SylowThmAdjoinx to aringTake adirectsumSveta writesthe symbolfor propersubset∃!Use 1stIsomThmProvekernel= 0FindcounterexampleSvetawrites"EXR" inredDefine agroupactionProvesomethingis torsion-freeSvetagivesexample#0Prove abiconditionalProveinjectivityProve agroup isnotAbelianProve agroup isAbelianSvetawrites "R-module"Say thatZorn'sLemma islogically ACSay that oneelementdividesanotherProve agroup iscyclicSvetawrites"Slogan"Sveta says"finitelygenerated"Svetamentionsthat we onlywork withcomm. ringsProvesurjectivityUse the3rd SylowThmAdjoinx to aringTake adirectsumSveta writesthe symbolfor propersubset∃!Use 1stIsomThmProvekernel= 0FindcounterexampleSvetawrites"EXR" inredDefine agroupaction

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