Epi-quasi normality

This work studies a new version of normality called epi-quasi normality, which lies between epi-normality and epi-mild normality. In this paper, we investigate this property and present some examples that illustrate the relationships between epi-quasi normality and other kinds of both normality and...

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Main Authors: Thabit Sadeq Ali, Alshammari Ibtesam, Alqurashi Wafa
Format: Article
Language:English
Published: De Gruyter 2021-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2021-0121
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author Thabit Sadeq Ali
Alshammari Ibtesam
Alqurashi Wafa
author_facet Thabit Sadeq Ali
Alshammari Ibtesam
Alqurashi Wafa
author_sort Thabit Sadeq Ali
collection DOAJ
description This work studies a new version of normality called epi-quasi normality, which lies between epi-normality and epi-mild normality. In this paper, we investigate this property and present some examples that illustrate the relationships between epi-quasi normality and other kinds of both normality and regularity.
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spelling doaj.art-223a478bce4e49618119b757fc5fecda2022-12-21T19:24:09ZengDe GruyterOpen Mathematics2391-54552021-12-011911755177010.1515/math-2021-0121Epi-quasi normalityThabit Sadeq Ali0Alshammari Ibtesam1Alqurashi Wafa2Department of Mathematics, Faculty of Education-Al-mahra, Hadhramout University, Al Mukalla, YemenDepartment of Mathematics, Faculty of Science, University of Hafr Al Batin, Hafr Al Batin, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Applied Sciences, Umm Al-Qura University, Makkah Al-Mukarramah, Saudi ArabiaThis work studies a new version of normality called epi-quasi normality, which lies between epi-normality and epi-mild normality. In this paper, we investigate this property and present some examples that illustrate the relationships between epi-quasi normality and other kinds of both normality and regularity.https://doi.org/10.1515/math-2021-0121quasi normalepi-normalepi-mildly normalepi-almost normalsemi-regularization54d1554a1054c1054d1054d70
spellingShingle Thabit Sadeq Ali
Alshammari Ibtesam
Alqurashi Wafa
Epi-quasi normality
Open Mathematics
quasi normal
epi-normal
epi-mildly normal
epi-almost normal
semi-regularization
54d15
54a10
54c10
54d10
54d70
title Epi-quasi normality
title_full Epi-quasi normality
title_fullStr Epi-quasi normality
title_full_unstemmed Epi-quasi normality
title_short Epi-quasi normality
title_sort epi quasi normality
topic quasi normal
epi-normal
epi-mildly normal
epi-almost normal
semi-regularization
54d15
54a10
54c10
54d10
54d70
url https://doi.org/10.1515/math-2021-0121
work_keys_str_mv AT thabitsadeqali epiquasinormality
AT alshammariibtesam epiquasinormality
AT alqurashiwafa epiquasinormality