×
Bigard, A.; Keimel, K.

Sur les endomorphismes conservant les polaires d’un groupe réticulé archimédien. (French) Zbl 0215.34203

Bull. Soc. Math. Fr. 97, 381-398 (1969).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0215.34203

Cited in 1 Review
Cited in 13 Documents

MSC:

06F15 Ordered groups
Cite Review PDF
Full Text: DOI Numdam EuDML

References:

[1] BERNAU (S. J.) . - Unique représentation of archimedean lattice groups and normal archimedean lattice rings , Proc. London math. Soc., t. 15, 1965 , p. 599-631. MR 32 #144 | Zbl 0134.10802 · Zbl 0134.10802 · doi:10.1112/plms/s3-15.1.599
[2] BIGARD (A.) . - Groupes archimédiens et hyper-archimédiens , Séminaire Dubreil-Pisot : Algèbre et Théorie des nombres, 21e année, 1967 - 1968 , n^\circ 2, 13 pages. Numdam | Zbl 0186.05201 · Zbl 0186.05201
[3] BIGARD (A.) . - Thèse Sc. math. , Paris, 1969 .
[4] BIRKHOFF (G.) . - Lattice theory , 3rd edition. - Providence, American mathematical Society, 1967 (American mathematical Society, Colloquium Publications, 25). MR 37 #2638 | Zbl 0153.02501 · Zbl 0153.02501
[5] BIRKHOFF (G.) and PIERCE (R. S.) . - Lattice-ordered rings , Anais Acad. brasil. Ciencias, t. 28, 1956 , p. 41-69. MR 18,191d | Zbl 0070.26602 · Zbl 0070.26602
[6] BYRD (R. D.) . - Complete distributivity in lattice-ordered groups , Pacific J. Math., t. 20, 1967 , p. 423-432. Article | MR 34 #7680 | Zbl 0158.03303 · Zbl 0158.03303 · doi:10.2140/pjm.1967.20.423
[7] CONRAD (P. F.) . - Introduction à la théorie des groupes réticulés . - Paris, Secrétariat mathématique, 1967 . MR 37 #1289 | Zbl 0189.32603 · Zbl 0189.32603
[8] FUCHS (L.) . - Partially ordered algebraic systems . - Oxford, London, New York, Paris, Pergamon Press, 1963 (International Series of monographs in pure and applied mathematics, 28). MR 30 #2090 | Zbl 0137.02001 · Zbl 0137.02001
[9] JOHNSON (D. G.) . - On a representation theory for a class of archimedean lattice ordered rings , J. London math. Soc., t. 12, 1962 , p. 207-225. MR 25 #5082 | Zbl 0105.26401 · Zbl 0105.26401 · doi:10.1112/plms/s3-12.1.207
[10] JOHNSON (B. E.) . - An introduction to the theory of centralizers , Proc. London math. Soc., t. 14, 1964 , p. 299-320. MR 28 #2450 | Zbl 0143.36102 · Zbl 0143.36102 · doi:10.1112/plms/s3-14.2.299
[11] KEIMEL (K.) . - Le centroïde et le bicentroïde de certains anneaux réticulés , C. R. Acad. Sc. Paris, t. 267, 1968 , série A, p. 589-591. MR 38 #2067 | Zbl 0176.31503 · Zbl 0176.31503
[12] RICE (N. M.) . - Multiplication in vector lattices , Canadian J. Math., t. 20, 1968 , p. 1136-1149. MR 37 #6732 | Zbl 0162.44001 · Zbl 0162.44001 · doi:10.4153/CJM-1968-108-0
[13] ŠIK (F.) . - Sur la théorie des groupes réticulés [en russe] , Czechosl. math. J., t. 6, 1956 , p. 1-25. Article | Zbl 0075.01504 · Zbl 0075.01504
[14] ŠIK (F.) . - Estrutura y realisaziones de grupos reticulados , Rev. Mem. Fac. Ci. La Habana, Ser. Mat., t. 1, 1964 , n^\circ 3, p. 1-29.
[15] STONE (M. H.) . - A general theory of spectra, II , Proc. Nat. Acad. Sc. U.S.A., t. 27, 1941 , p. 83-87. MR 2,318a | Zbl 0063.07209 | JFM 67.0413.03 · Zbl 0063.07209 · doi:10.1073/pnas.27.1.83
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.