- -

On the essentiality and primeness of λ-super socle of C(X)

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

On the essentiality and primeness of λ-super socle of C(X)

Mostrar el registro completo del ítem

Mehran, S.; Namdari, M.; Soltanpour, S. (2018). On the essentiality and primeness of λ-super socle of C(X). Applied General Topology. 19(2):261-268. https://doi.org/10.4995/agt.2018.9058

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/109462

Ficheros en el ítem

Metadatos del ítem

Título: On the essentiality and primeness of λ-super socle of C(X)
Autor: Mehran, S. Namdari, M. Soltanpour, S.
Fecha difusión:
Resumen:
[EN] Spaces X for which the annihilator of Sλ(X), the λ-super socle of C(X) (i.e., the set of elements of C(X) that cardinality of their cozerosets are less than λ, where λ is a regular cardinal number such that λ≤|X|) is ...[+]
Palabras clave: λ-super socle of C(X) , λ-isolated point , λ-disjoint spaces
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2018.9058
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2018.9058
Agradecimientos:
The authors would like to thank professor O.A.S. Karamzadeh for introducing the topics of this article and for his helpful discussion. The authors are also indebted to the well-informed, meticulous referee for ...[+]
Tipo: Artículo

References

F. Azarpanah, Essential ideals in C(X), Period. Math. Hungar. 31 (1995), 105-112. https://doi.org/10.1007/BF01876485

F. Azarpanah, Intersection of essential ideals in C(X), Proc. Amer. Math. Soc. 125 (1997), 2149-2154. https://doi.org/10.1090/S0002-9939-97-04086-0

F. Azarpanah, Algebraic properties of some compact spaces, Real Analysis Exchange 25, no. 1 (1999), 317-328. [+]
F. Azarpanah, Essential ideals in C(X), Period. Math. Hungar. 31 (1995), 105-112. https://doi.org/10.1007/BF01876485

F. Azarpanah, Intersection of essential ideals in C(X), Proc. Amer. Math. Soc. 125 (1997), 2149-2154. https://doi.org/10.1090/S0002-9939-97-04086-0

F. Azarpanah, Algebraic properties of some compact spaces, Real Analysis Exchange 25, no. 1 (1999), 317-328.

F. Azarpanah, O. A. S. Karamzadeh and S. Rahmati, C(X) VS. C(X) modulo its socle, Coll. Math. 3 (2008), 315-336. https://doi.org/10.4064/cm111-2-9

F. Azarpanah, O. A. S. Karamzadeh, Z. Keshtkar A. R. Olfati, On maximal ideals of Cc(X) and the uniformity of its localizations, Rocky Mountain Journal of Mathematics 48, no. 2 (2018), 345-384. https://doi.org/10.1216/RMJ-2018-48-2-345

T. Dube, Contracting the socle in rings of continuous functions, Rend. Semin. Mat. Univ. Padova {123} (2010), 37-53.

R. Engelking, General topology, Heldermann Verlag Berlin, 1989.

S. G. Ghasemzadeh, O. A. S. Karamzadeh and M. Namdari, The super socle of the ring of continuous functions, Math. Slovaca 67, no. 4 (2017), 1-10. https://doi.org/10.1515/ms-2017-0028

M. Ghadermazi, O. A. S. Karamzadeh and M. Namdari, C(X) versus its functionally countable subalgebra, Bull. Iranian Math. Soc. https://doi.org/10.1007/s41980-018-0124-8

M. Ghadermazi, O. A. S. Karamzadeh and M. Namdari, On the functionally countable subalgebra of C(X), Rend. Sem. Mat. Univ. Padova 129 (2013), 47-70. https://doi.org/10.4171/RSMUP/129-4

L. Gillman and M. Jerison, Rings of continuous functions, Springer-Verlag, 1976.

K. R. Goodearl, JR. and R. B. Warfiel, An introduction to noncommutative Noetherianrings, London Mathematical Society Students Texts, Vol. 16, Cambridge UniversityPress, 1989.

K. R. Goodearl, Von Neumann regular rings, Pitman Publishing Limited, London, SanFrancisco, Melbourne, 1979.

O. A. S. Karamzadeh, M. Namdari and M. A. Siavoshi, A note on $lambda$-compact spaces, Math. Slovaca 63, no. 6 (2013), 1371-1380. https://doi.org/10.2478/s12175-013-0177-3

O. A. S. Karamzadeh, M. Namdari and S. Soltanpour, On the locally functionally countable subalgebra of C(X), Appl. Gen. Topol. 16, no. 2 (2015), 183-207. https://doi.org/10.4995/agt.2015.3445

O. A. S. Karamzadeh and M. Rostami, On the intrinsic topology and some related ideals of C(X), Proc. Amer. Math. Soc. 93 (1985), 179-184.

S. Mehran and M. Namdari, The λ- super socle of the ring of continuous functions, Categories and General Algebraic Structures with Applications 6, no. 1 (2017), 37-50.

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem