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pro vyhledávání: '"Lee, Edmond"'
Autor:
Gusev, Sergey V., Lee, Edmond W. H.
Publikováno v:
Acta Math. Hungar. 165 (2021), 156-168
The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to be countably infinite. But the description of all cancellable elements of the lattice $\mathbb{MON}$ of monoid varieties remains unknown. This proble
Externí odkaz:
http://arxiv.org/abs/2101.02418
Publikováno v:
Japan. J. Math. 17 (2022), 117-183
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.
Externí odkaz:
http://arxiv.org/abs/2011.03679
Autor:
Gusev, Sergey V., Lee, Edmond W. H.
Publikováno v:
Bull. London Math. Soc. 52 (2020), 762-775
A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every finite lattice. Examples of finitely universal varieties of semigroups have been available since the early 1970s, but it is unknown if there exists a
Externí odkaz:
http://arxiv.org/abs/2001.07601
Publikováno v:
In Journal of Algebra 1 December 2023 635:698-735
The aim of this paper is to provide an atlas of identity bases for varieties generated by small semigroups and groups. To help the working mathematician easily find information, we provide a companion website that runs in the background automated rea
Externí odkaz:
http://arxiv.org/abs/1911.05817
We begin a systematic study of finite semigroups that generate join irreducible members of the lattice of pseudovarieties of finite semigroups, which are important for the spectral theory of this lattice. Finite semigroups $S$ that generate join irre
Externí odkaz:
http://arxiv.org/abs/1702.03753
Autor:
Jackson, Marcel, Lee, Edmond W. H.
Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and surprisingly, no finite monoid is known to generate a monoid variety with countably infinitely many subvarieties. In the present article, it is shown that
Externí odkaz:
http://arxiv.org/abs/1511.08239
Autor:
Lee Edmond W.H.
Publikováno v:
Discussiones Mathematicae - General Algebra and Applications, Vol 41, Iss 1, Pp 103-112 (2021)
A nontrivial pseudovariety is join irreducible if whenever it is contained in the complete join of some collection of pseudovarieties, then it is contained in one of the pseudovarieties. A finite semigroup is join irreducible if it generates a join i
Externí odkaz:
https://doaj.org/article/d1a01053c79b42868dc5516cdf572567