OAI/Algebra/AuslanderReiten/Algebras/TensorRadical.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.ArExplicit.leftTensorIdeal line 13
  2. theorem OAI.ArExplicit.mem_leftTensorIdeal_iff line 16
  3. theorem OAI.ArExplicit.tmul_mem_leftTensorIdeal line 24
  4. theorem OAI.ArExplicit.leftTensorIdeal_mul_le line 29
  5. theorem OAI.ArExplicit.leftTensorIdeal_pow_le line 48
  6. theorem OAI.ArExplicit.leftTensorIdeal_isNilpotent line 58
  7. def OAI.ArExplicit.rightTensorIdeal line 66
  8. theorem OAI.ArExplicit.mem_rightTensorIdeal_iff line 69
  9. theorem OAI.ArExplicit.tmul_mem_rightTensorIdeal line 77
  10. theorem OAI.ArExplicit.rightTensorIdeal_mul_le line 82
  11. theorem OAI.ArExplicit.rightTensorIdeal_pow_le line 101
  12. theorem OAI.ArExplicit.rightTensorIdeal_isNilpotent line 111
  13. theorem OAI.ArExplicit.finiteAlgebra_radical_isNilpotent line 119
  14. theorem OAI.ArExplicit.tensor_radical_eq_kernel line 126