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Semiring identities of the Brandt monoid
Algebra universalis ( IF 0.6 ) Pub Date : 2021-06-05 , DOI: 10.1007/s00012-021-00731-8 Mikhail V. Volkov
中文翻译:
布兰特幺半群的半灵恒等式
更新日期:2021-06-05
Algebra universalis ( IF 0.6 ) Pub Date : 2021-06-05 , DOI: 10.1007/s00012-021-00731-8 Mikhail V. Volkov
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.
中文翻译:
布兰特幺半群的半灵恒等式
6 元素的 Brandt 幺半群\(B_2^1\)承认一个独特的加法,在该加法下它成为一个可加幂等的半环。我们证明这个加法是\(B_2^1\)作为逆半群的项运算。因此,我们展示了一个简单的证明,即\(B_2^1\)的半环恒等式不是基于有限的。