Small monoids generating varieties with uncountably many subvarieties
An algebra that generates a variety with uncountably many subvarieties is said to be of type $2^{\aleph_0}$. We show that the Rees quotient monoid $M(aabb)$ of order ten is of type $2^{\aleph_0}$, thereby affirmatively answering a recent question of Glasson. As a corollary, we exhibit a new example...
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| creator | Gusev, Sergey V |
| description | An algebra that generates a variety with uncountably many subvarieties is
said to be of type $2^{\aleph_0}$. We show that the Rees quotient monoid
$M(aabb)$ of order ten is of type $2^{\aleph_0}$, thereby affirmatively
answering a recent question of Glasson. As a corollary, we exhibit a new
example of type $2^{\aleph_0}$ monoid of order six, which turns out to be
minimal and the first of its kind that is finitely based. |
| doi_str_mv | 10.48550/arxiv.2411.15554 |
| format | Article |
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said to be of type $2^{\aleph_0}$. We show that the Rees quotient monoid
$M(aabb)$ of order ten is of type $2^{\aleph_0}$, thereby affirmatively
answering a recent question of Glasson. As a corollary, we exhibit a new
example of type $2^{\aleph_0}$ monoid of order six, which turns out to be
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$M(aabb)$ of order ten is of type $2^{\aleph_0}$, thereby affirmatively
answering a recent question of Glasson. As a corollary, we exhibit a new
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said to be of type $2^{\aleph_0}$. We show that the Rees quotient monoid
$M(aabb)$ of order ten is of type $2^{\aleph_0}$, thereby affirmatively
answering a recent question of Glasson. As a corollary, we exhibit a new
example of type $2^{\aleph_0}$ monoid of order six, which turns out to be
minimal and the first of its kind that is finitely based.</abstract><doi>10.48550/arxiv.2411.15554</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Group Theory |
| title | Small monoids generating varieties with uncountably many subvarieties |
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