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Ideals in B1(X) and residue class rings of B1(X) modulo an ideal

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Ideals in B1(X) and residue class rings of B1(X) modulo an ideal

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Deb Ray, A.; Mondal, A. (2019). Ideals in B1(X) and residue class rings of B1(X) modulo an ideal. Applied General Topology. 20(2):379-393. https://doi.org/10.4995/agt.2019.11417

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/127130

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Título: Ideals in B1(X) and residue class rings of B1(X) modulo an ideal
Autor: Deb Ray, A. Mondal, Atanu
Fecha difusión:
Resumen:
[EN] This paper explores the duality between ideals of the ring B1(X) of all real valued Baire one functions on a topological space X and typical families of zero sets, called ZB-filters, on X. As a natural outcome of this ...[+]
Palabras clave: ZB- filter , ZB -ultrafilter , ZB -ideal , Fixed ideal , Free ideal , Residue class ring , Real maximal ideal , Hyper real maximal ideal
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.2019.11417
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2019.11417
Tipo: Artículo

References

A. Deb Ray and A. Mondal, On rings of Baire one functions, Applied Gen. Topol. 20, no. 1 (2019), 237-249. https://doi.org/10.4995/agt.2019.10776

J. P. Fenecios and E. A. Cabral, On some properties of Baire-1 functions, Int. Journal of Math. Analysis 7, no. 8 (2013), 393-402. https://doi.org/10.12988/ijma.2013.13035

L. Gillman and M. Jerison, Rings of Continuous Functions, New York: Van Nostrand Reinhold Co., 1960. https://doi.org/10.1007/978-1-4615-7819-2 [+]
A. Deb Ray and A. Mondal, On rings of Baire one functions, Applied Gen. Topol. 20, no. 1 (2019), 237-249. https://doi.org/10.4995/agt.2019.10776

J. P. Fenecios and E. A. Cabral, On some properties of Baire-1 functions, Int. Journal of Math. Analysis 7, no. 8 (2013), 393-402. https://doi.org/10.12988/ijma.2013.13035

L. Gillman and M. Jerison, Rings of Continuous Functions, New York: Van Nostrand Reinhold Co., 1960. https://doi.org/10.1007/978-1-4615-7819-2

J. R. Munkres, Topology, Second edition, Pearson Education, Delhi, 2003.

L. Vesely, Characterization of Baire-one functions between topological spaces, Acta Universitatis Carolinae. Mathematica et Physica 33, no. 2 (1992), 143-156.

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