Algebraische Theorie der Körper.

@article{SteinitzAlgebraischeTD,
  title={Algebraische Theorie der K{\"o}rper.},
  author={Ernst W. Steinitz},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  volume={1910},
  pages={167 - 309}
}
  • E. Steinitz
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
The use of infinity in pure number theory and algebra
  • Y. Gauthier
  • Mathematics
    International Journal of Algebra
  • 2019
What is meant here by pure number theory is elementary number theory from Fermat to Kronecker, what I call Fermat-Kronecker arithmetic, that is the method of infinite descent combined with the theory
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Let A(R) and E(R) denote respectively the ring of analytic and real entire functions in one variable. It is shown that if m is a maximal ideal of A(R), then A(R)/m is isomorphic either to the reals
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. Positive MV-algebras are the subreducts of MV-algebras with re- spect to the signature {⊕ , ⊙ , ∨ , ∧ , 0 , 1 } . We provide a finite quasi-equational axiomatization for the class of such algebras.
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