Abstract
In this paper, we define the WLR-normal band, WLR-normal cryptogroup and LR-regular semigroup. We give some equivalent conditions for a completely regular semigroup to be a WLR-normal cryptogroup and give the characterization of LR-regular semigroups.
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References
Petrich, M.: The structure of completely semigroups. Trans. Am. Math. Soc. 189, 211–236 (1974)
Petrich, M., Reilly, N.: Completely regular semigroups. Wiley, New York (1999)
Clifford, A.H.: Bands of semigroups. Proc. Amer. Math. 42, 499–504 (1941)
Stojan, B.: Semigroups with a system of subsemigroups. Trans. Am. Math. Soc. 189, 211–236 (1974)
Kong, X.Z.: Completely regular semigroups with generalized strong semilattice decompositions. Algebra Colloquium 12(2), 269–280 (2005)
Zhang, J.G., Song, G.T., Liu, G.X.: WLR-regular orthgroups. Semigroup Forum 77, 463–473 (2008)
Guo, Y.Q., Shum, K.P., Sen, M.K.: LR-normal orthgroups. Chin. Sci. Bull. 35(12), 1384–1396 (2005)
Du, A.H., Liu, Y.: Weak LR-bands. Shandong Sci. 18(2), 1–5 (2005)
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© 2011 Springer-Verlag Berlin Heidelberg
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Wang, A., Wang, L., Li, Y. (2011). WLR-Normal Cryptogroups and LR-Regular Semigroups. In: Lee, G. (eds) Advances in Automation and Robotics, Vol. 2. Lecture Notes in Electrical Engineering, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25646-2_23
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DOI: https://doi.org/10.1007/978-3-642-25646-2_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25645-5
Online ISBN: 978-3-642-25646-2
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