Minimal prime ideals in autometrized algebras

Mary E. Hansen

Czechoslovak Mathematical Journal (1994)

  • Volume: 44, Issue: 1, page 81-90
  • ISSN: 0011-4642

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Hansen, Mary E.. "Minimal prime ideals in autometrized algebras." Czechoslovak Mathematical Journal 44.1 (1994): 81-90. <http://eudml.org/doc/31389>.

@article{Hansen1994,
author = {Hansen, Mary E.},
journal = {Czechoslovak Mathematical Journal},
keywords = {autometrized -algebra; lattice-ordered commutative monoid; metric; prime ideals; prime filters; polars; dually residuated -semigroups},
language = {eng},
number = {1},
pages = {81-90},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Minimal prime ideals in autometrized algebras},
url = {http://eudml.org/doc/31389},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Hansen, Mary E.
TI - Minimal prime ideals in autometrized algebras
JO - Czechoslovak Mathematical Journal
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 1
SP - 81
EP - 90
LA - eng
KW - autometrized -algebra; lattice-ordered commutative monoid; metric; prime ideals; prime filters; polars; dually residuated -semigroups
UR - http://eudml.org/doc/31389
ER -

References

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  1. Filets in autometrized algebras; in preparation, . 
  2. Prime ideals in autometrized algebras, Czechoslovak Math. J. 37 (112) (1987), 65–69. (1987) MR0875128
  3. Polars in autometrized algebras, Czechoslovak Math. J. 39 (114) (1989), 681–685. (1989) MR1018003
  4. Regular ideals in autometrized algebra, Math. Slovaca 40 (1990), 117–122. (1990) MR1094766
  5. 10.1007/BF01362667, Math. Ann. 157 (1964), 65–74. (1964) Zbl0135.02602MR0170842DOI10.1007/BF01362667
  6. 10.1007/BF01360284, Math. Ann. 159 (1965), 105–114. (1965) Zbl0138.02104MR0183797DOI10.1007/BF01360284
  7. 10.1017/S1446788700020383, J. Austral. Math. Soc. (Ser. A) 24 (1977), 362–374. (1977) MR0469843DOI10.1017/S1446788700020383

Citations in EuDML Documents

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  1. Ivan Chajda, Jiří Rachůnek, Annihilators in normal autometrized algebras
  2. Tomáš Kovář, Normal autometrized lattice ordered algebras
  3. Milan Jasem, On ideals of lattice ordered monoids
  4. Jiří Rachůnek, Spectra of autometrized lattice algebras
  5. Jan Kühr, Representable dually residuated lattice-ordered monoids
  6. Jan Kühr, Prime ideals and polars in DR ℓ -monoids and BL-algebras
  7. Milan Jasem, On lattice-ordered monoids
  8. Jiří Rachůnek, Dana Šalounová, Direct decompositions of dually residuated lattice-ordered monoids
  9. Jiří Rachůnek, Polars and annihilators in representable DRl -monoids and MV -algebras

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