QUASIVARIETIES OF IDEMPOTENT SEMIGROUPS-Reference-Cited by-同舟云学术

QUASIVARIETIES OF IDEMPOTENT SEMIGROUPS

Published:2003-12 Issue:06 Volume:13 Page:733-752
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

ADAMS M. E.¹,DZIOBIAK W.²

Affiliation:

1. Department of Mathematics, State University of New York, New Paltz, NY 12561, USA

2. Department of Mathematics, University of Puerto Rico, Mayagüez, PR 00681-9018, Puerto Rico

Abstract

It is proved that the lattice L(Bd) of quasivarieties contained in the variety Bd of idempotent semigroups contains an isomorphic copy of the ideal lattice of a free lattice on ω free generators. This result shows that a problem of Petrich [19], which calls for a description of L(Bd), is much more complex than originally expected.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196703001626

Reference25 articles.

1. Finite-to-finite universal quasivarieties are Q-universal

2. Varieties of idempotent semigroups

3. Quasivarieties of algebraic systems

4. Endomorphism monoids of bands

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