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In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties.
Wang Hongxing, Chen Jianlong
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Weighted MP weak group inverse [PDF]
To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices.
Mosić Dijana, Marovt Janko
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A weak group inverse for rectangular matrices [PDF]
First author was partially supported by UNRC (Grant PPI 18/C472) and CONICET (Grant PIP 112-201501-00433CO). Third author was partially supported by Ministerio de Economia, Industria y Competitividad of Spain (Grants DGI MTM2013-43678-P and Red de Excelencia MTM2017-90682-REDT).
Nestor Thome +2 more
exaly +6 more sources
Weighted weak group inverse for Hilbert space operators [PDF]
We present the weighted weak group inverse, which is a new generalized inverse of operators between two Hilbert spaces, introduced to extend weak group inverse for square matrices. Some characterizations and representations of the weighted weak group inverse are investigated.
Dijana Mosić +2 more
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Comparison of serum vitamin D level and vitamin D receptor gene FokI polymorphism in leprosy patients with and without trophic ulcers: A case-control study. [PDF]
BackgroundAlterations in the vitamin D axis have been implicated in chronic wounds, but their role in leprosy-related trophic ulcers (TU) is unclear.
Paulus Anthony Halim +5 more
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(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras [PDF]
Let be a commutative (not necessary unital) inverse semigroup with the set of idempotents then is a commutative Banach -module with canonical actions.
Ebrahim Nasrabadi +2 more
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Proto-oncogene Pokemon in thyroid cancer: a potential promoter of tumorigenesis in papillary thyroid carcinoma [PDF]
Background Pokemon is an oncogenic transcription regulator that plays a critical role in cellular differentiation. Although it has been found to be overexpressed in several types of cancer involving different organs, its role in thyroid gland has yet to ...
Kyungseek Chang +7 more
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Characterizations and representations of weak core inverses and $m$-weak group inverses
In a ring with an involution, we first present some necessary and sufficient conditions for the existence of the $m$-weak group inverse and expression. As an application, we prove that a regular element $a$ is $(m+1)$-weak group invertible if and only if $a^2a^{-}$ is $m$-weak group invertible, where $a^{-}$ is an inner inverse of $a$.
Li, Wende, Chen, Jianlong, Zhou, Yukun
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m-weak group inverses in a ring with involution [PDF]
In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore, we define the $m$-weak group inverse and show some properties of $m$-weak group inverse.
Zhou, Yukun +2 more
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Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space
The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić +2 more
doaj +1 more source

