doi:10.24996/ijs.2023.64.4.24

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Publication Date

Sun Apr 30 2023

Journal Name

Iraqi Journal Of Science

Volume

64

Issue Number

4

DOI

10.24996/ijs.2023.64.4.24

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On The extension Bi-Normality of Linear Operators

Bi-normality set

Unitary operator

Quasi-similar operator

Similar operator

Aluthge transformation

Anas A.

Elaf S.

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In this paper, we introduce the bi-normality set, denoted by , which is an extension of the normality set, denoted by for any operators in the Banach algebra . Furthermore, we show some interesting properties and remarkable results. Finally, we prove that it is not invariant via some transpose linear operators.

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Publication Date

Tue Mar 30 2021

Journal Name

College Of Islamic Sciences

Need and transgression in Surat (Abs) Semantic grammatical study: Need and transgression in Surat (Abs)

Praise be to God who blessed us with the grace of Islam

and set our tongues in the language of the Qur’an. The Arabic language is beautiful through its grammar and rules

and its meanings which are the spirit of grammar

and we allocate the element of Arabic speech

which is the verb and the phenomenon of necessity and transgression

one of the important phenomena in modern studies and received attention from ancient and modern scholars

and we called our research: (Obligatory and transgression in Surat Abbas

semantic grammatical study) . The research was divided into two sections: The first topic included: the necessary verbs in Surat (Abs) an applied study.

Satar jasm falh

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The research aims to highlight the significance and composition and the diversity of meanings and the Quranic context in the necessary and transgressive verbs in Surat (Abs).

This research consists of : a preamble , and two studies . The researcher addressed in the preliminary the importance of the phenomenon of necessity and infringement, the signs of the necessary action , the structure and controls of the act , the methods of infringement , its sections and signs.

As for the first topic : The researcher addressed the necessary verbs in Surat Abs , an applied study in terms of grammati

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