Biordered Sets and Regular Rings

Romeo, P. G.

doi:10.1007/978-81-322-2488-4_7

P. G. Romeo⁴

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 142))

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Abstract

Biordered sets were introduced in [3] to describe the structure of regular semigroups. In [1] it is shown that the ideals of a regular ring forms a complemented modular lattices. Here we describe the biordered set of such a regular ring.

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References

von Neumann, John: Continuous Geometry. Princeton University Press, London (1960)
Google Scholar
Howie, J.M.: An Introduction to Semigroup Theory. Academic Press, London (1976)
MATH Google Scholar
Nambooripad, K.S.S.: Structure of regular semigroups-I. Mem. Am. Math. Soc., 22(224) 1–117 (November 1979) (second of 3 numbers)
Google Scholar
Pastijn, F.J.: Biordered sets and complemented modular lattices. Semigroup Forum 21, 205–220 (1980)
Article MATH MathSciNet Google Scholar

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Department of Mathematics, Cochin University of Science and Technology, Kochi, Kerala, India
P. G. Romeo

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P. G. Romeo
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Correspondence to P. G. Romeo .

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Department of Mathematics, Cochin University of Science and Technology (CUSAT), Kochi, Kerala, India
P G Romeo
Department of Mathematics, University of Nebraska, Lincoln, Nebraska, USA
John. C Meakin
Department of Mathematics, University of Kerala, Thiruvananthapuram, Kerala, India
A R Rajan

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Romeo, P.G. (2015). Biordered Sets and Regular Rings. In: Romeo, P., Meakin, J., Rajan, A. (eds) Semigroups, Algebras and Operator Theory. Springer Proceedings in Mathematics & Statistics, vol 142. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2488-4_7

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DOI: https://doi.org/10.1007/978-81-322-2488-4_7
Published: 07 July 2015
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2487-7
Online ISBN: 978-81-322-2488-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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