## 33 Citations

The Globals of Some Subpseudovarieties of DA

- MathematicsInt. J. Algebra Comput.
- 2004

Using the word problem for free pro- monoids, it is shown that the bilateral semidirect product is local, where denotes the pseudovariety of all finite semilattices.

On the Equation

- Mathematics
- 2001

This note uses some recent powerful tools related with semidirect products * of pseu-dovarieties of semigroups, particularly when the second factor is the pseudovariety of all finite groups, to give…

On the equation V G = EV

- Mathematics
- 2007

This note uses some recent powerful tools related with semidirect products V W of pseu-dovarieties of semigroups, particularly when the second factor is the pseudovariety G of all nite groups, to…

The G-Exponent of a Pseudovariety of Semigroups*

- Mathematics
- 2000

Abstract Ash's proof of the Pointlike Conjecture provides an algorithm for calculating the group-pointlike subsets of a finite semigroup S. We denote by PG(S) the subsemigroup of P(S), the elements…

GLOBALS OF PSEUDOVARIETIES OF COMMUTATIVE SEMIGROUPS: THE FINITE BASIS PROBLEM, DECIDABILITY AND GAPS

- MathematicsProceedings of the Edinburgh Mathematical Society
- 2001

Abstract Whereas pseudovarieties of commutative semigroups are known to be finitely based, the globals of monoidal pseudovarieties of commutative semigroups are shown to be finitely based (or of…

A Structural Approach to the Locality of Pseudovarieties of the Form LH (m) V

- MathematicsInt. J. Algebra Comput.
- 2010

We show that if H is a Fitting pseudovariety of groups and V is a local pseudovariety of monoids, then LH ⓜ V is local if either V contains the six element Brandt monoid, or H is a non-trivial…

The lattice of pseudovarieties of idempotent semigroups and a non-regular analogue

- Mathematics
- 1997

Abstract. We use classical results on the lattice
$ \cal L (\cal B) $ of varieties of band (idempotent) semigroups to obtain information on the structure of the lattice Ps (DA) of subpseudovarieties…

Semidirect products of regular semigroupsPeter

- Mathematics
- 1999

Within the usual semidirect product S T of regular semigroups S and T lies the set Reg (S T) of its regular elements. Whenever S or T is completely simple, Reg (S T) is a (regular) subsemigroup. It…

## References

SHOWING 1-10 OF 38 REFERENCES

Implicit operations on DS

- Mathematics
- 1991

This work illustrates how the study of the topological semigroups ΩnV (for a pseudovariety V) can be useful to the knowledge of V and finds factorizations of implicit operations in terms of regular and explicit ones.

Mal'cev products of varieties of completely regular semigroups

- Mathematics
- 1987

Abstract Whilst the Mal'cev product of completely regular varieties need not again be a variety, it is shown that in many important instances a variety is in fact obtained. However, unlike the…

Varieties of Finite Categories

- MathematicsRAIRO Theor. Informatics Appl.
- 1986

The main goal is to point out the similarities and distinctions between C-varieties and varieties of finite monoids that underlie the more traditional approach to the theory.

Closure of Varieties of Languages under Products with Counter

- MathematicsJ. Comput. Syst. Sci.
- 1992

On semi-groups in which xr = x

- MathematicsMathematical Proceedings of the Cambridge Philosophical Society
- 1952

In this note we are concerned with the semi-group Snr, generated by n of its elements, in which each element x satisfies the equation xr = x, the semi-group being otherwise free. The main result…