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VIDEO LIBRARY |
Adian 90: Conference on Mathematical Logic, Algebra, and Computation
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Identities in twisted Brauer monoids M. V. Volkov Ural Federal University, Ekaterinburg |
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Abstract: The twisted Brauer monoid \begin{align*} &h_{i}h_{j}=h_{j}h_{i}, \ \ s_{i}s_{j}=s_{j}s_{i}, \ \ h_{i}s_{j}=s_{j}h_{i} &&\text{if } |i-j|\ge 2;\\ &h_{i}h_{j}h_{i}=h_{i}, \ \ s_{i}s_{j}s_{i}=s_{j}s_{i}s_{j}, \ \ s_is_jh_i = h_js_is_j &&\text{if } |i-j|=1;\\ &h_{i}^2=ch_{i}=h_{i}c, \ \ s_{i}^2=1, \ \ cs_{i}=s_{i}c, \ \ s_ih_i = h_is_i=h_i. && \end{align*} The submonoid Theorem. The identity checking problem for the monoid The complexity of identity checking problem for the monoid Language: English References
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