Abstract
This paper studies the class of left Clifford-rpp semigroups and investigates the structure of their semi-spined products and semilattice decompositions. These semigroups are generalizations of left Clifford semigroups and Clifford-rpp semigroups. We also discuss some special cases such as when a semilattice decomposition becomes a strong semilattice decomposition and a semi-spined product becomes a spined product.
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References
A.H. Clifford and G.B. Preston,The Algebraic Theory of Semigroups, American Math. Soc.7, Providence, Vol. I. 1961; Vol. II. 1967.
J. B. Fountain,Right PP monoids with central idempotents, Semigroup Forum13 (1977), 229–237.
J.M. Howie, “An Introduction to Semigroup Theory”, Academic Press, 1976.
M. Kilp,Commutative monoids all of whose principal ideals are projective, Semigroup Forum6 (1973), 334–339.
U. Knauer,Projectivity of acts and Morita equivalence of monoids, Semigroup3 (1972), 359–370.
M. Petrich, “Inverse Semigroups”, John Wiley & Sons, New York, 1984.
M. Petrich, “Introduction to Semigroups”, Charles E. Merrill Publishing Company, 1973.
G.T. Song,Grothendieck group of a semigroups, Acta Mathematica Sinica33, No. 3 (1990), 309–322, (Chinese).
P.Y. Zhu, Y.Q. Guo and K.P. Shum,Structure and characterizations of left C-semigroups, Science in China, Series A, # 6 (English), 791–805, 1992.
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Communicated by Boris Schein
This research is jointly supported by a grant of National Natural Science Foundation of China and a small project grant #200.600.380 of CUHK.
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Yuqi, G., Shum, K.P. & Pinyu, Z. The structure of left C-rpp semigroups. Semigroup Forum 50, 9–23 (1995). https://doi.org/10.1007/BF02573502
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DOI: https://doi.org/10.1007/BF02573502