We call a pseudovariety finite join irreducible if V ≤ V1 V V2 ⇒ V ≤ V1 or V ≤ V2. We present a large class of group mapping semigroups generating finite join irreducible pseudovarieties. We show that many naturally occurring pseudovarieties are finite join irreducible including: S, DS, CR, CS and H̄, where H is a group pseudovariety containing a non-nilpotent group. © Springer-Verlag 2004.
CITATION STYLE
Rhodes, J., & Steinberg, B. (2004). Join irreducible pseudovarieties, group mapping, and Kovács-Newman semigroups. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2976, 279–291. https://doi.org/10.1007/978-3-540-24698-5_32
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