scholarly journals m-weak group inverses in a ring with involution

2020 ◽  
Vol 115 (1) ◽  
Author(s):  
Yukun Zhou ◽  
Jianlong Chen ◽  
Mengmeng Zhou
Keyword(s):  
Weak Group ◽  
Group Inverses

Weak group inverses in proper ∗-rings

2019 ◽  
Vol 19 (12) ◽  
pp. 2050238 ◽  
Author(s):  
Mengmeng Zhou ◽  
Jianlong Chen ◽  
Yukun Zhou
Keyword(s):  
Group Inverse ◽  
Complex Matrices ◽  
Weak Group ◽  
Group Inverses

In proper ∗-rings, we characterize weak group inverses by three equations. It generalizes the notion of weak group inverse, which was introduced by Wang and Chen for complex matrices in 2018. Some new equivalent characterizations for elements to be weak group invertible are presented. Furthermore, we define the group-EP decomposition. Some properties of the weak group inverse are established by the group-EP decomposition.

Weak group inverses and partial isometries in proper *-rings

2021 ◽  
pp. 1-16
Author(s):  
Mengmeng Zhou ◽  
Jianlong Chen ◽  
Yukun Zhou ◽  
Néstor Thome
Keyword(s):  
Partial Isometries ◽  
Weak Group ◽  
Group Inverses

scholarly journals Generalized inverses over integral domains. II. group inverses and Drazin inverses

1991 ◽  
Vol 146 ◽  
pp. 31-47 ◽  
Author(s):  
K. Manjunatha Prasad ◽  
K.P.S. Bhaskara Rao ◽  
R.B. Bapat
Keyword(s):  
Generalized Inverses ◽  
Integral Domains ◽  
Group Inverses

The weak group matrix

2019 ◽  
Vol 93 (6) ◽  
pp. 1261-1273 ◽  
Author(s):  
Hongxing Wang ◽  
Xiaoji Liu
Keyword(s):  
Weak Group ◽  
Group Matrix

scholarly journals Group inverses and Drazin inverses of bidiagonal and triangular Toeqlitz matrices

1977 ◽  
Vol 24 (1) ◽  
pp. 10-34 ◽  
Author(s):  
R. E. Hartwig ◽  
J. Shoaf
Keyword(s):  
Toeplitz Matrices ◽  
Arbitrary Ring ◽  
Group Inverses ◽  
Necessary And Sufficient

AbstractNecessary and sufficient sonditions are given for the existence of the group and Drazin inverses of bidiagonal and triangular Toeplitz matrices over an arbitrary ring.

The structure theorem and duality theorem for endomorphism algebras of weak Hopf group coalgebras

2017 ◽  
Vol 16 (11) ◽  
pp. 1750208
Author(s):  
Ling Jia
Keyword(s):  
Duality Theorem ◽  
Structure Theorem ◽  
Weak Group ◽  
Endomorphism Algebras ◽  
Hopf Formula ◽  
Hopf Modules ◽  
Homological Algebras

In this paper, we investigate the HOM-functor and state the structure theorem for endomorphism algebras of weak two-sided [Formula: see text]-Hopf [Formula: see text]-modules in order to explore homological algebras for weak Hopf [Formula: see text]-modules, and present the duality theorem for weak group “big” Smash products which extends the result of Menini and Raianu [Morphisms of relative Hopf modules, Smash products and duality, J. Algebra 219 (1999) 547–570] in the setting of weak Hopf group coalgebras.

Simulation on Trajectory Planning of 6R Manipulator Based on the Shortest Distance Criterion

2014 ◽  
Vol 602-605 ◽  
pp. 942-945
Author(s):  
Qing Qing Huang ◽  
Guang Feng Chen ◽  
Jiang Hua Li ◽  
Xin Wei
Keyword(s):  
Trajectory Planning ◽  
Inverse Kinematics ◽  
Spline Interpolation ◽  
Algebraic Method ◽  
End Effector ◽  
Cartesian Space ◽  
Shortest Distance ◽  
Inverse Solutions ◽  
Group Inverses ◽  
Forward And Inverse Kinematics

This paper concerns the trajectory planning and simulation for 6R Manipulator. First, algebraic method was used to deduce the forward and inverse kinematics of 6R manipulator. All inverse solutions were expressed in atan2 to eliminate redundant roots to get the corresponding inverse formula. For the trajectory planning of manipulator in Cartesian space, using the cubic spline interpolation to get the drive function of joint, getting a unique solution from eight group inverses by the shortest distance criterion, and then obtained the actual end-effector trajectory. Using Matlab to verify the proposed trajectory planning method, validated results show that the proposed algorithm is feasible and effective.

Group inverses for some 2 × 2 block matrices over rings

2016 ◽  
Vol 11 (3) ◽  
pp. 521-538
Author(s):  
Chongguang Cao ◽  
Yingchun Wang ◽  
Yuqiu Sheng
Keyword(s):  
Block Matrices ◽  
Group Inverses

Displacement structure of group inverses

2005 ◽  
Vol 12 (2-3) ◽  
pp. 103-110 ◽  
Author(s):  
Yimin Wei ◽  
Michael K. Ng
Keyword(s):  
Displacement Structure ◽  
Group Inverses

scholarly journals Die Judasbrief: 'n Simboliese universum in die gedrang

1988 ◽  
Vol 44 (3) ◽  
Author(s):  
S. J. Joubert
Keyword(s):  
Weak Group ◽  
Symbolic Universe ◽  
Strong Group

The letter of Jude: A symbolic universe endangered The readers to whom Jude adresses his letter experience alienation from their symbolic universe because of their contact with certain people who hold a different interpretation of God. Within the letter's textworld Jude maintains his reader's symbolic universe by changing their image from that of a weak group to a strong group with a clearly defined status and role. He also presents their world as an ordered whole and as the only legitimate form of existence where God protects those who obey his commands and punishes those who place themselves outside the readers' symbolic universe through their conduct.

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