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Almost Cross varieties of aperiodic monoids with central idempotents

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Abstract

It is known that the class \({\fancyscript{A}}\) of aperiodic monoids with central idempotents contains precisely two finitely generated, almost Cross subvarieties. The present article exhibits the first example of a non-finitely generated, almost Cross subvariety of \({\fancyscript{A}}\) and verifies that it is in fact unique. Consequently, the class \({\fancyscript{A}}\) contains precisely three almost Cross subvarieties.

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Authors and Affiliations

  1. Division of Math, Science, and Technology, Nova Southeastern University, 3301 College Avenue, Fort Lauderdale, FL, 33314, USA

    Edmond W. H. Lee

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  1. Edmond W. H. Lee
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Correspondence to Edmond W. H. Lee.

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Lee, E.W.H. Almost Cross varieties of aperiodic monoids with central idempotents. Beitr Algebra Geom 54, 121–129 (2013). https://doi.org/10.1007/s13366-012-0094-6

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  • DOI: https://doi.org/10.1007/s13366-012-0094-6

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