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math.GR2019
Means Compatible with Semigroup Laws
R. Padmanabhan, Alok Shukla
A binary mean operation m(x,y) is said to be compatible with a semigroup law *, if * satisfies the Gauss' functional equation m(x,y) * m(x,y) = x * y for all x, y. Thus the arithme…
math.GR2012
A 2-base for inverse semigroups
Joao Araujo, Michael Kinyon, R. Padmanabhan
An open problem in the theory of inverse semigroups was whether the variety of such semigroups, when viewed as algebras with a binary operation and a unary operation, is 2-based, t…