A variety of J-trivial monoids is Cross if and only if it excludes one of a list of 14 almost Cross varieties.
A new example of limit variety of aperiodic monoids
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abstract
A limit variety is a variety that is minimal with respect to being non-finitely based. The two limit varieties of Marcel Jackson are the only known examples of limit varieties of aperiodic monoids. Our previous work had shown that there exists a limit subvariety of aperiodic monoids that is different from Marcel Jackson's limit varieties. In this paper, we introduce a new limit variety of aperiodic monoids.
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math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Characterization of Cross varieties of $J$-trivial monoids
A variety of J-trivial monoids is Cross if and only if it excludes one of a list of 14 almost Cross varieties.