Abstract
In this paper, we characterize the normal categories associated with a completely simple semigroup \(S = \mathscr {M}[G;I,\Lambda ;P]\) and show that the semigroup of normal cones \(T\mathcal {L}(S)\) is isomorphic to the semi-direct product \(G^\Lambda \ltimes \Lambda \). We characterize the principal cones in this category and the Green’s relations in \(T\mathcal {L}(S)\).
The author wishes to acknowledge the financial support (via JRF and SRF) of the Council for Scientific and Industrial Research, New Delhi in the preparation of this paper.
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Azeef Muhammed, P.A. (2016). Normal Categories from Completely Simple Semigroups. In: Rizvi, S., Ali, A., Filippis, V. (eds) Algebra and its Applications. Springer Proceedings in Mathematics & Statistics, vol 174. Springer, Singapore. https://doi.org/10.1007/978-981-10-1651-6_25
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DOI: https://doi.org/10.1007/978-981-10-1651-6_25
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