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Mappings to Realcompactifications

Publish place: Categories and General Algebraic Structures with Applications، Vol: 10، Issue: 1
Publish Year: 1398
Type: Journal paper
Language: English
View: 210

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Link to this Paper:
https://civilica.com/doc/1267980

Document National Code:

JR_CGASAT-10-1_006

Index date: 14 September 2021

Mappings to Realcompactifications abstract

In this paper, we introduce and study  a mapping from the collection of all  intermediate rings of C(X) to the collection of all  realcompactifications of X contained in \beta X. By establishing the relations between this mapping and its converse,  we give a different approach to the main statements of De et. al. Using these, we provide different answers to the   four basic questions raised in Acharyya et.al. Finally, we give some notes on the realcompactifications  generated  by ideals.

Mappings to Realcompactifications Keywords:

Realcompacification , intermediate ring , intermediate C-ring

Mappings to Realcompactifications authors

Mehdi Parsinia

Departemant of Mathematics, Shahid Chamran University, Ahvaz, Iran

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لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
Acharyya, S.K., Chattopadhyay, K.C., and Ghosh, D.P., A class of ...
Acharyya, S.K., Chattopadhyay, K.C., and Ghosh, D.P., On a class ...
Acharyya, S.K., and De, D., An interesting class of ideals ...
Acharyya, S.K. and De, D., A-compactifications and minimal subalgebras of ...
Aliabad, A.R. and Parsinia, M., zR-ideals and z_R-ideals in subrings ...
Aliabad, A.R. and Parsinia, M., Remarks on subrings of C(X) ...
Azarpanah, F. and Mohamadian, R.,pz-ideals andpz_-ideals in C(X), Acta. Math.Sin. ...
De, D. and Acharyya, S.K., Characterization of function rings between ...
Dominguez, J.M. and Gomez-Perez, J., There do not exist minimal ...
Dominguez, J.M., Gomez, J., and Mulero, M.A., Intermediate algebras betweenC*(X) ...
Gillman, L. and Jerison, M., “Rings of Continuous Functions”, Springer-Verlag, ...
Parsinia, M., Remarks on LBI-subalgebras of C(X), Comment. Math. Univ. ...
Parsinia, M., Remarks on intermediate C-rings of C(X), Quaest. Math., ...
Parsinia, M., R-P-spaces and subrings of C(X), Filomat ۳۲(۱) (۲۰۱۸), ...
Plank, D., On a class of subalgebras of C(X) with ...
Redlin, L. and Watson, S., Structure spaces for rings of ...
Rudd, D., On two sum theorems for ideals in C(X), ...
Sack, J. and Watson, S., C and C* among intermediate ...
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