Special elements in the lattice of overcommutative semigroup varieties revisited

2009/09/24 by V. Yu. Shaprynskiǐ, V. Yu. Shaprynskii, Shaprynskii, V. Yu. +2
Computer Science · Mathematics · #20M07 #Advanced Algebra and Logic #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20M07 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0909.4388

16 pages

arxiv created 2009/09/24 · openalex publication_date 2009/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We completely determine all distributive, codistributive, standard, costandard, and neutral elements in the lattice of overcommutative semigroup varieties, thus correcting a gap contained in an earlier article by the second author.

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