[EN] Let A, B is an element of C-nxn with ind(A) = k and ind(B) = s and let L-B = (BB)-B-2(sic). A new condition (C-s,C-*): R(A(k)) boolean AND N((B-s)*) = {0} and R(B-s) boolean AND N((A(k))*) = {0}, is defined. Some new ...
Zhou, Mengmeng; Chen, Jianlong; Thome, Néstor(University of Wyoming Libraries, 2021-02-03)
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and Drazin inverse, currently, we found immersed in a new generation of generalized inverses (core inverse, DMP inverse, etc.). ...
[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 ...