ERRATA AND UPDATES TO

George M. Bergman, HSP ≠ SHPS for metabelian groups, and related results, Algebra Universalis 26 (1989) 267-283.

ERRATUM:

p.276, second line of section 5:  SHPS_f S  should be  SHP_f S. 

UPDATES:

Question 28(ii) ("Does SHPS(X) = HSP(X) for every class X of lattice-ordered groups?") is answered in the negative in

   N. Ya. Medvedev, HSP ≠ SHPS for metabelian representable l-groups, Algebra Universalis 31 (1994) 151-156.  MR95c:06035.

For further work on semigroups of operators generated by these and related operators, see

   Boža Tasić, Partially ordered monoids generated by operators H, S, P and by H, S, P_f  are isomorphic, Semigroup Forum 62 (2001) 485-490. MR2002b:06026

and subsequent papers by the same author. 

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