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How to partially order regular elements. (English) Zbl 0442.06006


MSC:

06F05 Ordered semigroups and monoids
06A06 Partial orders, general
20M10 General structure theory for semigroups
15A09 Theory of matrix inversion and generalized inverses
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16U99 Conditions on elements