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A class of lattice ordered algebras
Author:
Casper Goffman
Journal:
Bull. Amer. Math. Soc. 64 (1958), 170-173
MathSciNet review:
0097332
Full-text PDF
References |
Additional Information
- 1.
Casper
Goffman, Remarks on lattice ordered groups and
vector lattices. I. Carathéodory functions, Trans. Amer. Math. Soc. 88 (1958), 107–120. MR 0097331
(20 #3800), http://dx.doi.org/10.1090/S0002-9947-1958-0097331-4
- 2.
Garrett
Birkhoff and R.
S. Pierce, Lattice-ordered rings, An. Acad. Brasil. Ci.
28 (1956), 41–69. MR 0080099
(18,191d)
- 3.
Barron
Brainerd, On a class of lattice-ordered
rings, Proc. Amer. Math. Soc. 8 (1957), 673–683. MR 0089179
(19,629a), http://dx.doi.org/10.1090/S0002-9939-1957-0089179-6
- 4.
Paul
Jaffard, Comtribution à l’étude des groupes
ordonnés, J. Math. Pures Appl. (9) 32 (1953),
203–280 (French). MR 0057869
(15,284d)
- 5.
C. Carathéodory, Entwurf für eine algebraisierung des Integralbegriffs, Bayer Akad. Wiss. Math.-Nat. Kl. Abh. (1938) pp. 28-67.
- 6.
Demetrios
A. Kappos, Ein Beitrag zur Carathéodoryschen Definition der
Ortsfunktionen in Booleschen Algebren, Math. Z. 51
(1949), 616–634 (German). MR 0028375
(10,437c)
- 7.
Hidegorô
Nakano, Modern Spectral Theory, Maruzen Co. Ltd., Tokyo, 1950.
MR
0038564 (12,419f)
- 1.
- C. Goffman, Remarks on lattice ordered groups and vector lattices, I. The Cara-théodory functions, Trans. Amer. Math. Soc. vol. 88 (1958) pp. 107-120. MR 97331
- 2.
- G. Birkhoff and R. S. Pierce, Lattice ordered rings, An. Acad. Brasil Ci. vol. 28 (1956) pp. 41-69. MR 80099
- 3.
- B. Brainerd, On a class of lattice ordered rings, Proc. Amer. Math. Soc. vol. 8 (1957) pp. 673-683. MR 89179
- 4.
- P. Jaffard, Contribution a l'étude des groupes ordonnés, J. Math. Pures Appl. vol. 32 (1953) pp. 203-280. MR 57869
- 5.
- C. Carathéodory, Entwurf für eine algebraisierung des Integralbegriffs, Bayer Akad. Wiss. Math.-Nat. Kl. Abh. (1938) pp. 28-67.
- 6.
- D. A. Kappos, Ein Beitrag zur Carathéodoryschen Definition der Ortsfunktionen, in Booleschen Algebren, Math. Z. vol. 51 (1949) pp. 616-634. MR 28375
- 7.
- H. Nakano, Modern spectral theory, Tokyo, 1950, pp. 148-154. MR 38564
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1958-10197-4
PII:
S 0002-9904(1958)10197-4
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