- -

Closure formula for ideals in intermediate rings

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Closure formula for ideals in intermediate rings

Mostrar el registro completo del ítem

Kharbhih, JPJ.; Dutta, S. (2020). Closure formula for ideals in intermediate rings. Applied General Topology. 21(2):195-200. https://doi.org/10.4995/agt.2020.11903

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/151370

Ficheros en el ítem

Metadatos del ítem

Título: Closure formula for ideals in intermediate rings
Autor: Kharbhih, John Paul Jala Dutta, Sanghita
Fecha difusión:
Resumen:
[EN] In this paper, we prove that the closure formula for ideals in C(X) under m topology holds in intermediate ring also, i.e. for any ideal I in an intermediate ring with m topology, its closure is the intersection of ...[+]
Palabras clave: M topology , Rings of continuous functions , Β-ideals
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.2020.11903
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2020.11903
Tipo: Artículo

References

S. K. Acharyya and B. Bose, A correspondence between ideals and z-filters for certain rings of continuous functions - some remarks, Topology and its Applications 160, no. 13 (2013), 1603-1605. https://doi.org/10.1016/j.topol.2013.06.011

S. K. Acharyya, K. C. Chattopadhyay and D. P. Ghosh, A class of subalgebras of C(X) and the associated compactness, Kyungpook Math. J. 41, no. 2 (2001), 323-324.

S. K. Acharyya and D. De, An interesting class of ideals in subalgebras of C(X) containing C*(X), Comment. Math. Univ. Carolin. 48, no. 2 (2007), 273-280. [+]
S. K. Acharyya and B. Bose, A correspondence between ideals and z-filters for certain rings of continuous functions - some remarks, Topology and its Applications 160, no. 13 (2013), 1603-1605. https://doi.org/10.1016/j.topol.2013.06.011

S. K. Acharyya, K. C. Chattopadhyay and D. P. Ghosh, A class of subalgebras of C(X) and the associated compactness, Kyungpook Math. J. 41, no. 2 (2001), 323-324.

S. K. Acharyya and D. De, An interesting class of ideals in subalgebras of C(X) containing C*(X), Comment. Math. Univ. Carolin. 48, no. 2 (2007), 273-280.

S. K. Acharyya and D. De, Characterization of function rings between C*(X) and C(X), Kyungpook Math. J. 46 (2006), 503-507.

H. L. Byun and S. Watson, Prime and maximal ideals in subrings of C(X), Topology and its Applications 40 (1991), 45-62. https://doi.org/10.1016/0166-8641(91)90057-S

J. M. Domínguez and J.-Gómez Pérez, Intersections of maximal ideals in algebras between C*(X) and C(X), Topology and its Applications 98 (1999), 149-165. https://doi.org/10.1016/S0166-8641(99)00043-7

L. Gillman, M. Henriksen and M. Jerison, On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions, Proc. Amer. Math. Soc. 5 (1954), 447-455. https://doi.org/10.1090/S0002-9939-1954-0066627-6

L. Gillman and M. Jerison, Rings of continuous functions, Univ. Ser. Higher Math, D. Van Nostrand Company, Inc., Princeton, N. J., 1960. https://doi.org/10.1007/978-1-4615-7819-2

E. Hewitt, Rings of real-valued continuous functions I, Trans. Amer. Math. Soc. 64, no. 1 (1948), 45-99. https://doi.org/10.1090/S0002-9947-1948-0026239-9

D. Plank, On a class of subalgebras of C(X) with applications to $beta X setminus X$, Fund. Math. 64 (1969), 41-54. https://doi.org/10.4064/fm-64-1-41-54

L. Redlin and S. Watson, Maximal ideals in subalgebras of C(X), Proc. Amer. Math. Soc. 100, no. 4 (1987), 763-766. https://doi.org/10.2307/2046719

T. Shirota, On ideals in rings of continuous functions, Proc. Japan Acad. 30, no. 2 (1954), 85-89. https://doi.org/10.3792/pja/1195526176

[-]

recommendations

 

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

Mostrar el registro completo del ítem