Super rpp semigroups

Indian Journal of Pure and Applied Mathematics - Tập 41 Số 3 - Trang 505-533 - 2010
Xiaojie Guo1, Yuqi Guo2, Kenneth W. Shum3
1Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi, People’s Republic of China
2Department of Mathematics, Southwest University, Chongqing, People’s Republic of China
3Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong (SAR), People’s Republic of China

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Tài liệu tham khảo

J. B. Fountain, Right pp semigroups with central idempotents, Semigroup Forum, 13 (1976/77), 229–237.

J. B. Fountain, Adequate semigroups, Proc. Edinburgh Math. Soc., 22 (1979), 113–125.

J. B. Fountain, Abundant semigroups, Proc. London Math. Soc., 44 (1982), 103–129.

Y. He, Y. Q. Guo and K. P. Shum, The construction of orthodox super rpp semigroups, Sci. China (ser. A), 17 (2004), 552–565.

X. J. Guo, The structure of PI-strongly rpp semigroups, Chinese Sci. Bull., 41 (1996), 1647–1650.

X. J. Guo, Y. Q. Guo and K. P. Shum, Semispined product structure of left C-a semigroups, In: Semigroups (ed: K. P. Shum et al.), Springer-Verlag, (1998), 157–166.

X. J. Guo, Y. Q. Guo and K. P. Shum, Rees matrix theorem for D (l)-simple strongly rpp semigroups, Asian-European Journal of Mathematics, Vol I(2) (2008), 215–223.

X. J. Guo, K. P. Shum and Y. Q. Guo, Perfect rpp semigroups, Communications in Algebra, 29 (2001), 2447–2460.

X. J. Guo, K. P. Shum and L. Zhang, Regular F-abundant semigroups, Comm. Algebra, 33(12) (2005), 4383–4401.

Y. Q. Guo, The right dual of left C-rpp semigroups, Chinese Sci. Bull., 42 (1997), 1599–1603.

Y. Q. Guo, K. P. Shum and P. Y. Zhu, The structure of left C-rpp semigroups, Semigroup Forum, 50 (1995), 9–23.

J. M. Howie, An introduction to semigroup theory, Academic Press, London, 1976.

F. Pastijn, A representation of a semigroup of matrices over a group with zero, Semigroup Forum, 10 (1975), 238–239.

M. Petrich, Lecture in semigroups, Akademic Press, Berlin, 1977.

M. Petrich, Congruences on completely regular semigroups, Canad. J. Math., 41 (1989), 439–461.

M. Petrich, The Green’s relations approach to congruences on completely regular semigroups, Anna. Di. Math. Appl. (IV), CL152 (1994), 117–146.

X. M. Ren and K. P. Shum, The structure of superabundant semigroups, Sci. China (Ser. A), 47 (2004), 756–771.

X. M. Ren and K. P. Shum, On superabundant semigroups whose set of idempotents forms a subsemigroup, Algebra Colloquium, 14 (2007), 215–228.

K. P. Shum, X. J. Guo and X. M. Ren, (l)-Green’s relations and perfect rpp semigroups, In: The Proceedings of Asian Mathematical Conference, Manila (2000) (ed: T. Sunada, W.S. Polly and L. Yang), World Scientific Inc., (2001), p. 604–613.

K. P. Shum and X. M. Ren, The structure of right C-rpp semi-groups, Semigroup Forum, 68 (2004), 280–292.

K. P. Shum and X. M. Ren, Abundant semigroups and their special subclasses, Proceedings of the international conference on algebras and its applications (2002) (Bangkok), 61–68, Chulalongkorn University, Bangkok, Thailand, 2002.

K. P. Shum, Rpp semigroups, its generalizations and special subclasses, Advances in Algebra and Combinatorics, edited by K.P. Shum et al., World Scientific Publishing Co., (2008), 303–334.

C. Teng, K. P. Shum and Y. Zhang, LR-C-Ehresmann orthogroups, Int. Math. J., 6(4) (2005), 187–208.