Second homology of the semigroups and efficiency
2018
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Advisor: Prof. Dr. Hayrullah Ayık
Abstract (EN)
For two finite monoids S and T, let S◊T be Schützenberger product of S and T. In this study we prove that the second integral homology of the Schützenberger product S◊T is equal to H_2 (S◊T)=H_2 (S)×H_2 (T)×(H_1 (S) ⊗_Z H_1 (T)) as the second integral homology of the direct product of two monoids. Moreover, we show that S◊T is inefficient if there is no left or right invertible element in both S and T.
Author
Dr. Melek Yağcı
How to Cite
Melek Yağcı (Doctorate thesis). Second homology of the semigroups and efficiency, 2018, Çukurova University.
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