Valuation Theory. Part I

Grzegorz Bancerek; Hidetsune Kobayashi; Artur Korniłowicz

Formalized Mathematics (2012)

  • Volume: 20, Issue: 1, page 7-14
  • ISSN: 1426-2630

Abstract

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In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined.

How to cite

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Grzegorz Bancerek, Hidetsune Kobayashi, and Artur Korniłowicz. "Valuation Theory. Part I." Formalized Mathematics 20.1 (2012): 7-14. <http://eudml.org/doc/267930>.

@article{GrzegorzBancerek2012,
abstract = {In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined.},
author = {Grzegorz Bancerek, Hidetsune Kobayashi, Artur Korniłowicz},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {7-14},
title = {Valuation Theory. Part I},
url = {http://eudml.org/doc/267930},
volume = {20},
year = {2012},
}

TY - JOUR
AU - Grzegorz Bancerek
AU - Hidetsune Kobayashi
AU - Artur Korniłowicz
TI - Valuation Theory. Part I
JO - Formalized Mathematics
PY - 2012
VL - 20
IS - 1
SP - 7
EP - 14
AB - In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined.
LA - eng
UR - http://eudml.org/doc/267930
ER -

References

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  16. Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. 
  17. Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. 
  18. Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. 
  19. Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
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  21. Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 

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