@MISC{O_RING_1.MIZ,
  AUTHOR = {Muzalewski, Micha{\l} and Szczerba, Les{\l}aw W.},
  TITLE = {Ordered Rings - Part {I}},
  DAY = {11},
  MONTH = {October},
  YEAR = {1990},
  ADDRESS1 = {Warsaw University\\Bia{\l}ystok},
  ADDRESS2 = {Siedlce University},
  SUMMARY = {     This series of papers is devoted to the notion of the ordered ring,
 and one of its most important cases: the notion of ordered field. It
 follows the results of \cite{SZMIELEW:1}.
     The idea of the notion of order in the ring is based on that of
 positive cone i.e. the set of positive elements. Positive cone has to
 contain at least squares of all elements, and be closed under sum and
 product. Therefore the key notions of this theory are that of square, sum
 of squares, product of squares, etc. and finally elements generated from
 squares by means of sums and products. Part I contains definitions of all
 those key notions and inclusions between them.}}

