Results 311 to 320 of about 15,121,811 (367)

Inverse semigroups through groups

International Journal of Mathematical Education in Science and Technology, 1990
In most introductory abstract algebra courses the topics covered are groups, rings and fields. In recent years, semigroups have been included due to their value in certain areas of computer science. However, after a few examples of familiar semigroups, the subject is forgotten and concentration is placed on developing the group structure. In this paper
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New Representations and Properties of the m-Weak Group Inverse

Results in Mathematics, 2023
D. Mosić, Daochang Zhang
semanticscholar   +1 more source

Application of m-weak group inverse in solving optimization problems

RACSAM, 2023
D. Mosić, P. Stanimirović, L. Kazakovtsev   +2 more
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Group inverse and group involutory Matrices^∗

Linear and Multilinear Algebra, 1998
In this work we deal with group involutory matrices, i.e.A #=A. We give necessary and sufficient conditions to characterize these matrices in terms of different representations of the group inverse. First, we give different expressions of the group inverse of a square matrix A. In addition, the special case of integer matrices is considered.
Rafael Bru, Neśtor Thome
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Representations for the weak group inverse

Applied Mathematics and Computation, 2021
D. Mosić, P. Stanimirović
semanticscholar   +1 more source

Group Inverses

2023
Jianlong Chen, Xiaoxiang Zhang
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Group inverses and Drazin inverses over Banach algebras

Integral Equations and Operator Theory, 1993
Necessary and sufficient conditions are given for the existence of group and Drazin inverses of matrices over a complex commutative unital Banach algebra. Explicit formulas are provided for the inverses. Properties of these inverses and an application to operator theory are discussed.
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INVERSION IN GROUPS

The Quarterly Journal of Mathematics, 1941
Taussky, Olga, Todd, J.
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Inverse shadowing in group actions

Dynamical Systems, 2016
ABSTRACTWe study the inverse shadowing property for actions of some finitely generated groups. A tube condition for such actions is introduced and analysed. We prove a reductive inverse shadowing theorem for actions of virtually nilpotent groups.
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Inverses of finite group systems

IEEE Transactions on Automatic Control, 1978
Inverse systems are considered for a class of discrete time-invariant systems that include the finite linear sequential circuits (LSC's). Invertibility results for finite group homomorphic sequential systems (FGHSS's), given by Willsky [8], are extended to include systems with throughput A construction is developed for an L -delay inverse of any FGHSS ...
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