Results 11 to 20 of about 126,888 (287)

Weak group inverses and partial isometries in proper *-rings [PDF]

Linear and Multilinear Algebra, 2021
[EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove that an element is pseudo core invertible if it is both partial isometry and weak group invertible. Reverse order law and additive property of the weak group inverse are presented. Finally, under certain assumption
Zhou, Mengmeng, Chen, Jianlong, Zhou, Yukun, Thome, Néstor   +3 more
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Inverse Properties in Neutrosophic Triplet Loop and Their Application to Cryptography [PDF]

Algorithms, 2018
This paper is the first study of the neutrosophic triplet loop (NTL) which was originally introduced by Floretin Smarandache. NTL originated from the neutrosophic triplet set X: a collection of triplets ( x , n e u t ( x ) , a n t i ( x ) ) for ...
Temitope Gbolahan Jaiyeola, Florentin Smarandache   +1 more
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m-Weak group MP inverse [PDF]

Journal of Algebra and Its Applications
In this paper, we introduce a new matrix decomposition called the [Formula: see text]-core-nilpotent decomposition which is an extension of the core-nilpotent decomposition. By this new decomposition, we propose a new generalized inverse named the [Formula: see text]-weak group MP inverse which unifies the DMP-inverse and weak core inverse.
Wanlin Jiang, Jiale Gao, Xiangyu Zhang, Shengxi Zuo   +3 more
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Applications of Fuzzy Semiprimary Ideals under Group Action [PDF]

Axioms, 2023
Group actions are a valuable tool for investigating the symmetry and automorphism features of rings. The concept of fuzzy ideals in rings has been expanded with the introduction of fuzzy primary, weak primary, and semiprimary ideals.
Asma Ali, Amal S. Alali, Arshad Zishan
doaj   +2 more sources

Topological Sequences Connected With Inverse Graphs of Finite Flexible Weak Inverse Property Quasigroups: An Approach From Polynomials to Machine Learning [PDF]

International Journal of Mathematics and Mathematical Sciences
Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning.
Faizah D. Alanazi
doaj   +2 more sources

m-weak group inverse in a ring with proper involution [PDF]

The m-weak group inverse was recently studied in the literature. The purpose of this paper is to investigate new properties of this generalized inverse for ring elements. We introduce the m-weak group decomposition for a ring element and prove that it coincides with its m-weak group invertibility.
Chen, Huanyin
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Global weak solutions for the inverse mean curvature flow in the Heisenberg group [PDF]

We consider the inverse mean curvature flow (IMCF) in the Heisenberg group $(\He^n, d_\varepsilon)$, where $d_\varepsilon$ is distance associated to either $| \cdot |_\varepsilon$, $\varepsilon>0$, the natural family of left-invariant Riemannian metrics, or with their sub-Riemannian counterparts for $\varepsilon=0$.
Pisante, Adriano, Vecchi, Eugenio
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The weak core inverse [PDF]

, 2021
In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and Trenkler (Linear Multilinear Algebra ...
Ferreyra, David Eduardo, Thome, Néstor, Levis, F. E., Priori, Albina Natalia, Thome Coppo, Néstor Javier, Ferreyra, D. E., Priori, A. N., Levis, Fabián Eduardo   +7 more
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The influence of oral antimicrobial peptide content on the quantitative microflora composition in periodontal pockets among residents of a large industrial region

Zaporožskij Medicinskij Žurnal, 2021
The aim was to study the influence of periodontal pocket microecology state on the local nonspecific resistance in steelworkers with generalized periodontitis. Materials and methods. In total, 178 patients were examined.
I. V. Vozna, S. V. Pavlov, O. V. Voznyi
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Further characterizations of the weak group inverse of matrices and the weak group matrix

AIMS Mathematics, 2021
This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space. Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin ...
Hui Yan, Hongxing Wang, Kezheng Zuo, Yang Chen   +3 more
openaire   +3 more sources