The injective hull of an archimedean f-algebra
Wickstead, A. W.
Compositio Mathematica, Tome 61 (1987), p. 329-342 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1987-01-01
@article{CM_1987__62_3_329_0,
     author = {Wickstead, A. W.},
     title = {The injective hull of an archimedean f-algebra},
     journal = {Compositio Mathematica},
     volume = {61},
     year = {1987},
     pages = {329-342},
     mrnumber = {901395},
     zbl = {0621.06014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1987__62_3_329_0}
}

Wickstead, A. W. The injective hull of an archimedean f-algebra. Compositio Mathematica, Tome 61 (1987) pp. 329-342. http://gdmltest.u-ga.fr/item/CM_1987__62_3_329_0/

1 S.J. Bernau: Unique representation of Archimedean lattice groups and normal Archimedean rings. Proc. London Math. Soc. (3) 15 (1965) 599-631. | MR 182661 | Zbl 0134.10802

2 S.J. Bernau: Lateral and Dedekind completion of Archimedean lattice groups. J. London Math. Soc. (2) 12 (1976) 320-322. | MR 401579 | Zbl 0333.06008

3 F. Beukers, C.B. Huismans and B. De Pagter: Unital Embedding and Complexification of F-algebras. Math. Z. 183 (1983) 131-144. | MR 701362 | Zbl 0494.06010

4 A. Bigard and K. Keimel: Les orthomorphismes d'un espace reticule Archimedien. Indag. Math. 34 (1972) 236-246. | MR 308000 | Zbl 0235.06008

5 P.F. Conrad and J.E. Diem: The ring of polar preserving endomorphisms of an abelian lattice ordered group. Illinois J. Math. 15 (1971) 224-240. | MR 285462 | Zbl 0213.04002

6 M. Duhoux and M. Meyer: A new proof of the lattice structure of orthomorphisms. J. London Math. Soc. (2) 25 (1982) 375-378. | MR 653395 | Zbl 0485.46002

7 M. Duhoux and M. Meyer: Extended orthomorphisms on Archimedean Riesz spaces. Ann. Mat. pura et appl. (IV) 33 (1983) 193-226. | MR 725026 | Zbl 0526.46010

8 M. Duhoux and M. Meyer: Extended orthomorphisms and lateral completion of Archimedean Riesz spaces. Ann. Soc. Sci. Bruxelles 98 (1984) 3-18. | MR 766282 | Zbl 0559.46003

9 M. Duhoux and M. Meyer: Extension and inversion of extended orthomorphisms on Riesz spaces. J. Austral. Math. Soc. 37 (1984) 223-242. | MR 749502 | Zbl 0559.46002

10 C. Faith: Algebra II, Ring Theory. Springer-Verlag, Berlin - Heidelberg - New York (1976). | MR 427349 | Zbl 0335.16002

11 M. Henriksen: Semiprime ideals in f-rings. Symposia Math. 21 (1977) 401-409. | MR 480256 | Zbl 0374.06013

12 C.B. Huijsmans and B. de Pagter: Ideal theory in f-algebras. Trans. Amer. Math. Soc. 269 (1982) 225-245. | MR 637036 | Zbl 0483.06009

13 C.B. Huijsmans and B. de Pagter: The order bidual of lattice ordered algebras. J. Functional Anal. 59 (1984) 41-64. | MR 763776 | Zbl 0549.46006

14 J. Lambek: Lectures on rings and modules. Blaisdell, Waltham, Massachusetts - Toronto - London (1966). | MR 206032 | Zbl 0143.26403

15 W.A.J. Luxemburg and L.C. Moore Jr.: Archimedean Quotient Riesz spaces. Duke Math. J. 34 (1967) 725-739. | MR 217562 | Zbl 0171.10501

16 W.A.J. Luxemburg and A.R. Schep: A Radon-Nikodym type theorem for positive operators and a dual. Indag. Math. 40 (1978) 357-375. | MR 507829 | Zbl 0389.47018

17 W.A.J. Luxemburg and A.C. Zaanen: Riesz Spaces I. North-Holland, Amsterdam - London (1971). | MR 511676 | Zbl 0231.46014

18 B. De Pagter: The space of extended orthomorphisms in a Riesz space. Pacific J. Math. 112 (1984) 193-210. | MR 739146 | Zbl 0541.46006

19 A.W. Wickstead: Representation and duality of multiplication operators on Archimedean Riesz spaces. Compositio Math. 35 (1977) 225-238. | Numdam | MR 454728 | Zbl 0381.47021

20 A.W. Wickstead: Extensions of orthomorphisms. J. Austral. Math. Soc. 29 (1980) 87-98. | MR 566279 | Zbl 0435.47040