Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
Mathematica slovaca, Tome 43 (1993) no. 2, pp. 119-136
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06F05
@article{MASLO_1993_43_2_a1,
     author = {Jasem, Milan},
     title = {Weak isometries and direct decompositions of dually residuated lattice ordered semigroups},
     journal = {Mathematica slovaca},
     pages = {119--136},
     year = {1993},
     volume = {43},
     number = {2},
     mrnumber = {1274597},
     zbl = {0782.06012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1993_43_2_a1/}
}
TY  - JOUR
AU  - Jasem, Milan
TI  - Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
JO  - Mathematica slovaca
PY  - 1993
SP  - 119
EP  - 136
VL  - 43
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_1993_43_2_a1/
LA  - en
ID  - MASLO_1993_43_2_a1
ER  - 
%0 Journal Article
%A Jasem, Milan
%T Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
%J Mathematica slovaca
%D 1993
%P 119-136
%V 43
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_1993_43_2_a1/
%G en
%F MASLO_1993_43_2_a1
Jasem, Milan. Weak isometries and direct decompositions of dually residuated lattice ordered semigroups. Mathematica slovaca, Tome 43 (1993) no. 2, pp. 119-136. http://geodesic.mathdoc.fr/item/MASLO_1993_43_2_a1/

[1] BIRKHOFF G.: Lattice Theory. Amer. Math. Soc. Colloq. Publ. 25. (3rd ed.), Amer. Math. Soc., Providence, RI, 1967. | MR | Zbl

[2] HOLLAND, CH.: Intrinsic metrics for lattice ordered groups. Algebra Universalis 19 (1984), 142-150. | MR | Zbl

[3] JAKUBÍK J.: Isometries of lattice ordered groups. Czechoslovak Math. J. 30 (1980), 142-152. | MR | Zbl

[4] JAKUBÍK J.: On isometries of non-abelian lattice ordered groups. Math. Slovaca 31 (1981), 171-175. | MR | Zbl

[5] JAKUBÍK J.: Weak isometries of lattice ordered groups. Math. Slovaca 38 (1988), 133-138. | MR | Zbl

[6] JAKUBÍK J., KOLIBIAR M.: Isometries of multilattice groups. Czechoslovak Math. J. 33 (1983), 602-612. | MR | Zbl

[7] JASEM M.: Isometries in Riesz groups. Czechoslovak Math. J. 36 (1986), 35-43. | MR | Zbl

[8] JASEM M.: On weak isometries in multilattice groups. Math. Slovaca 40 (1990), 337-340. | MR | Zbl

[9] JASEM M.: Weak isometries and isometries in partially ordered groups. (Submitted).

[10] JASEM M.: Isometries in non-abelian multilattice groups. Czechoslovak Math. J., (To appear). | MR | Zbl

[11] POWELL W. B.: On isometries in abelian lattice ordered groups. J. Indian Math. Soc. 46 (1982), 189-194. | MR

[12] RACHŮNEK J.: Isometries in ordered groups. Czechoslovak Math. J. 34 (1984), 334-341. | MR | Zbl

[13] SWAMY K. L. N.: A general theory of autometrized algebras. Math. Ann. 157 (1964), 65-74. | MR | Zbl

[14] SWAMY K. L. N.: Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965), 105-114. | MR | Zbl

[15] SWAMY K. L. N.: Dually residuated lattice ordered semigroups. II. Math. Ann. 160 (1965), 64-71. | MR | Zbl

[16] SWAMY K. L. N.: Dually residuated lattice ordered semigroups. III. Math. Ann. 167 (1966), 71-74. | MR | Zbl

[17] SWAMY K. L. N.: Isometries in autometrized lattice ordered groups. Algebra Universalis 8 (1978), 59-64. | MR | Zbl

[18] SWAMY K. L. N.: Isometries in autometrized lattice ordered groups. II. Math. Seminar Notes Kobe Univ. 5 (1977), 211-214. | MR | Zbl

[19] SWAMY K. L. N., SUBBA RAO B. V.: Isometries in dually residuated lattice ordered semigroups. Math. Seminar Notes Kobe Univ. 8 (1980), 369-379. | MR

[20] TRIAS J.: Lattice isometries in Riesz spaces. Preprint, Univ. Politecnica Barcelona. (1981).