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1
Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-016-0667-1
Abstract: We present equivalent conditions of reverse order law for the (b, c)-inverse $${(a_1a_2)^{(b, c)}=a_2^{(b, s)}a_1^{(t, c)}}$$(a1a2)(b,c)=a2(b,s)a1(t,c) to hold in a semigroup. Also, we study various mixed-type reverse order laws for the (b, c)-inverse. As a…
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Keywords:
order law;
law inverse;
order;
reverse order ... See more keywords
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2
Published in 2022 at "F1000Research"
DOI: 10.12688/f1000research.123411.1
Abstract: The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined. The notions…
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Keywords:
star;
reverse order;
order law;
outer inverses ... See more keywords