arXiv:1701.09054v1 [math.RA] 31 Jan 2017 Page 1 arXiv:1701.09054v1 [math.RA] 31 Jan
2017 On one-sided (B,C)-inverses of arbitrary matrices Julio Benıtez, Enrico Boasso, Hongwei …

This paper contributes to define one-sided versions of 'w-core inverse'introduced by the
writer. Given any∗-ring R and a, w∈ R, a is called right w-core invertible if there exists some …

In this paper, for the first time in literature, we introduce one-sided weighted inverses and
extend the notions of one-sided inverses, outer inverses and inverses along given elements …

In this paper, the authors derive the existence criteria and the formulae of the weighted
Moore-Penrose inverse, the e-core inverse and the f-dual core inverse in rings. Also, new …

In this paper, we firstly prove that the absorption law for one-sided inverses along an
element holds, and derive the absorption law for the inverse along an element. We then …

One-Sided (b,c)-Inverses in Rings Page 1 Filomat 34:3 (2020), 727–736 https://doi.org/10.2298/FIL2003727K
Published by Faculty of Sciences and Mathematics, University of Niš, Serbia Available at …

We present equivalent conditions of reverse order law for the (b, c)-inverse (a_1a_2)^(b, c)=
a_2^(b, s) a_1^(t, c)(a 1 a 2)(b, c)= a 2 (b, s) a 1 (t, c) to hold in a semigroup. Also, we study …

Let R be a unital*-ring and let a, b, w∈ R. In this paper, we give some new characterizations
on w-core inverses in R. In particular, it is shown that a is w-core invertible if and only if it is w …

The concept of the inverse along an element was introduced by Mary in 2011. Later, Zhu et
al. introduced the one-sided inverse along an element. In this paper, we first give a new …

The main goal of this paper is to present two new classes of generalized inverses in order to
extend the concepts of the (dual) core–EP inverse and the (dual) $ w $-core inverse …