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Semiring identities of the Brandt monoid

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 نشر من قبل Mikhail Volkov
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Mikhail Volkov




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The 6-element Brandt monoid $B_2^1$ admits a unique addition under which it becomes an additively idempotent semiring. We show that this addition is a term operation of $B_2^1$ as an inverse semigroup. As a consequence, we exhibit an easy proof that the semiring identities of $B_2^1$ are not finitely based.

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