Geodesic
Strongly fixed ideals in $ C (L)$ and compact frames
Archivum mathematicum, Tome 51 (2015) no. 1, pp. 1-12.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $C(L)$ be the ring of real-valued continuous functions on a frame $L$. In this paper, strongly fixed ideals and characterization of maximal ideals of $C(L)$ which is used with strongly fixed are introduced. In the case of weakly spatial frames this characterization is equivalent to the compactness of frames. Besides, the relation of the two concepts, fixed and strongly fixed ideals of $C(L)$, is studied particularly in the case of weakly spatial frames. The concept of weakly spatiality is actually weaker than spatiality and they are equivalent in the case of conjunctive frames. Assuming Axiom of Choice, compact frames are weakly spatial.
DOI : 10.5817/AM2015-1-1
Classification : 06D22, 13A15, 13C99
Keywords: frame; ring of real-valued continuous functions; weakly spatial frame; fixed and strongly fixed ideal 
@article{10_5817_AM2015_1_1,
     author = {Estaji, A. A. and Karimi Feizabadi, A. and Abedi, M.},
     title = {Strongly fixed ideals in $ C (L)$ and compact frames},
     journal = {Archivum mathematicum},
     pages = {1--12},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2015},
     doi = {10.5817/AM2015-1-1},
     mrnumber = {3338762},
     zbl = {06487017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2015-1-1/}
}
TY  - JOUR
AU  - Estaji, A. A.
AU  - Karimi Feizabadi, A.
AU  - Abedi, M.
TI  - Strongly fixed ideals in $ C (L)$ and compact frames
JO  - Archivum mathematicum
PY  - 2015
SP  - 1
EP  - 12
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2015-1-1/
DO  - 10.5817/AM2015-1-1
LA  - en
ID  - 10_5817_AM2015_1_1
ER  - 
%0 Journal Article
%A Estaji, A. A.
%A Karimi Feizabadi, A.
%A Abedi, M.
%T Strongly fixed ideals in $ C (L)$ and compact frames
%J Archivum mathematicum
%D 2015
%P 1-12
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2015-1-1/
%R 10.5817/AM2015-1-1
%G en
%F 10_5817_AM2015_1_1
Estaji, A. A.; Karimi Feizabadi, A.; Abedi, M. Strongly fixed ideals in $ C (L)$ and compact frames. Archivum mathematicum, Tome 51 (2015) no. 1, pp. 1-12. doi : 10.5817/AM2015-1-1. http://geodesic.mathdoc.fr/articles/10.5817/AM2015-1-1/

Cité par Sources :