Regular ideals in autometrized algebras

Jiří Rachůnek

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 2, page 117-122
  • ISSN: 0139-9918

How to cite

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Rachůnek, Jiří. "Regular ideals in autometrized algebras." Mathematica Slovaca 40.2 (1990): 117-122. <http://eudml.org/doc/34299>.

@article{Rachůnek1990,
author = {Rachůnek, Jiří},
journal = {Mathematica Slovaca},
keywords = {partially ordered commutative semigroup; autometrized algebra; metric; ideal},
language = {eng},
number = {2},
pages = {117-122},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Regular ideals in autometrized algebras},
url = {http://eudml.org/doc/34299},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Rachůnek, Jiří
TI - Regular ideals in autometrized algebras
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 2
SP - 117
EP - 122
LA - eng
KW - partially ordered commutative semigroup; autometrized algebra; metric; ideal
UR - http://eudml.org/doc/34299
ER -

References

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  1. BIGARD A., KEIMEL K., WOLFENSTEIN S., Groupes et Anneaux Reticules, Berlin-Heidelberg-New York 1977. (1977) Zbl0384.06022MR0552653
  2. BIRKHOFF G., Lattice Theory, Providence 1967. (1967) Zbl0153.02501MR0227053
  3. KOPYTOV V. M., Lattice Ordered Groups (Russian), Moscow 1984. (1984) MR0806956
  4. RACHŮNEK J., Prime ideals in autometrized algebras, Czechoslovak Math. J. 37 (112), 1987, 65-69. (1987) Zbl0692.06007MR0875128
  5. RACŮNEK J., Polars in autometrized algebras, Czechoslovak Math. J. 39 (114), 1989, 681-685. (1989) MR1018003
  6. SWAMY K. L. N., A general theory of autometrized algebras, Math, Ann. 157, 1964, 65-74. (1964) Zbl0135.02602MR0170842
  7. SWAMY K. L. N., Dually residuated lattice ordered semigroups, Math. Ann. 159, 1965, 105-114. (1965) Zbl0138.02104MR0183797
  8. SWAMY K. L. N., RAO N. P., Ideals in autometrized algebras, J. Austral. Math. Soc. (Ser. A) 24, 1977, 362-374. (1977) Zbl0427.06006MR0469843
  9. SWAMY K. L. N., SUBBA RAO B. V., Isometries in dually residuated lattice ordered semigroups, Math. Sem. Notes 8, 1980, 369-380. (1980) MR0601906

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