The theory of quasi-divisors on cartesian products

Aleka Kalapodi; Angeliki Kontolatou

Acta Mathematica et Informatica Universitatis Ostraviensis (2000)

  • Volume: 08, Issue: 1, page 51-59
  • ISSN: 1804-1388

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Kalapodi, Aleka, and Kontolatou, Angeliki. "The theory of quasi-divisors on cartesian products." Acta Mathematica et Informatica Universitatis Ostraviensis 08.1 (2000): 51-59. <http://eudml.org/doc/23838>.

@article{Kalapodi2000,
author = {Kalapodi, Aleka, Kontolatou, Angeliki},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {theory of divisors; quasi-divisors; ideal systems},
language = {eng},
number = {1},
pages = {51-59},
publisher = {University of Ostrava},
title = {The theory of quasi-divisors on cartesian products},
url = {http://eudml.org/doc/23838},
volume = {08},
year = {2000},
}

TY - JOUR
AU - Kalapodi, Aleka
AU - Kontolatou, Angeliki
TI - The theory of quasi-divisors on cartesian products
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2000
PB - University of Ostrava
VL - 08
IS - 1
SP - 51
EP - 59
LA - eng
KW - theory of divisors; quasi-divisors; ideal systems
UR - http://eudml.org/doc/23838
ER -

References

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  2. Borevic-Shafarevic, Number Theory, Academic Press, New York, 1966. (1966) MR0195803
  3. Geroldinger A., Mockof J., 10.1016/0022-4049(94)00088-Z, Journal of Pure and Applied Algebra 102 (1995), 289-311. (1995) MR1354993DOI10.1016/0022-4049(94)00088-Z
  4. Halter-Koch F., Halbgruppen mit Divisorentheorie, Expo. Math. 8 (1990), 27-66. (1990) Zbl0698.20054MR1042201
  5. Halter-Koch F., Ideal systems, Marcel Dekker, Inc., New York, 1998. (1998) Zbl0953.13001MR1828371
  6. Jaffard P., Les systemes d' idéaux, Dunod, Paris, I960. Zbl0101.27502MR0114810
  7. Kalapodi A., Kontolatou A., Some remarks on r-ideal systems and categories of semigroups, Bulletin of the Greek Mathematical Society 42 (1999), 27-32. (1999) Zbl0964.06015MR1816189
  8. Lorenzen P., 10.1007/BF01580299, Math. Z. 45 (1939), 533-553. (1939) Zbl0021.38703MR0000604DOI10.1007/BF01580299
  9. Močkoř J., Kontolatou A., Divisor Class Groups of ordered subgroups, Acta Math. Inf. Univ. Ostrav. 1 (1993). (1993) MR1250925
  10. Močkoř J., Kontolatou A., Groups with quasi-divisor theory, Comm. Math. Univ. St. Pauli 42 (1993), 23-36. (1993) MR1223185
  11. Skula L., Divisorentheorie einer Halbgruppe, Math. Z. 114 (1970), 113-120. (1970) Zbl0177.03202MR0262401

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