Advanced search
Publication Cover
Communications in Algebra Volume 52, 2024 - Issue 5
Submit an article Journal homepage
72
Views
0
CrossRef citations to date
0
Altmetric
Research Article

When C(X) is an h-local ring

Papiya Bhattacharjeea Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, Florida, USA
,
Alexandra Epsteinb Department of Mathematics, University of Colorado, Colorado Springs, Colorado, USA
,
Warren Wm. McGovernc Wilkes Honors College, Florida Atlantic University, Jupiter, Florida, USACorrespondence[email protected]
&
Matthew Toeniskoetterd Department of Mathematics and Statistics, Oakland University, Rochester, Michigan, USA
Pages 1853-1861 | Received 26 Aug 2021, Accepted 27 Dec 2021, Published online: 10 Nov 2023

References

  • Bella, A., Simon, P. (1990). Function spaces with a dense set of nowhere constant elements. Boll. Un. Mat. Ital. A (7) 4(1):121–124.
  • Bella, A. (1992). A couple of questions concerning nowhere constant continuous functions. In: Recent Developments of General Topology and its Applications (Berlin, 1992). Mathematical Research, Vol. 67. Berlin: Akademie-Verlag, pp. 27–32.
  • Bella, A., Martinez, J., Woodward, S. D. (2001). Algebras and spaces of dense constancies. Czechoslovak Math. J. 51(126):449–461. DOI: 10.1023/A:1013767502518.
  • Dashiell, F., Hager, A., Henriksen, M. (1980). Order-Cauchy completions of rings and vector lattices of continuous functions. Can. J. Math. 32(3):657–685. DOI: 10.4153/CJM-1980-052-0.
  • Fine, N. J., Gilman, L., Lambek, J. (1966). Rings of Quotients of Rings of Continuous Functions. Lecture Note Series. Montreal: McGill University Press.
  • Fontana, M., Houston, E., Lucas, T. (2013). Factoring Ideals in Integral Domains. Lecture Notes of the Unione Matematica Italiana, Vol. 14. Heidelberg: Springer; UMI, Bologna.
  • Gillman, L., Jerison, M. (1976). Rings of Continuous Functions. Graduate Texts in Mathematics, Vol. 43. Berlin-Heidelberg-New York: Springer Verlag.
  • Gruenhage, G., Lutzer, D. J. (2018). Perfect images of generalized ordered spaces. Fund. Math. 240(2):175—197. DOI: 10.4064/fm343-1-2017.
  • Henriksen, M., Vermeer, J., Woods, R. G. (1987). Quasi F-covers of Tychonoff spaces. Trans. Amer. Math. Soc. 303(2):779–803.
  • Jaffard, P. (1953). Théorie arithmétique des anneaux du type de Dedekind. II. Bull. Soc. Math. France 81:41–61. DOI: 10.24033/bsmf.1437.
  • Levy, R. (1977). Almost P-spaces. Can. J. Math. 29(2):284–288. DOI: 10.4153/CJM-1977-030-7.
  • Mahdou, N., Mimouni, A., Moutui, M. A. S. (2014). On pm-rings, rings of finite character and h-local rings. J. Algebra Appl. 13(6):1450018. DOI: 10.1142/S0219498814500182.
  • Matlis, E. (1964). Cotorsion Modules, Number 49. Providence, RI: American Mathematical Society.
  • Olberding, B. (2007). Characterizations and constructions of h-local domains. In: Göbel, R., Goldsmith, B., eds. Models, Modules and Abelian Groups. Berlin: Walter de Gruyter, pp. 385–406.
  • Omairi, A. (2019). H-local rings. Thesis (Ph.D.). Florida Atlantic University.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.