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Semigroups of high rank II doubly noble semigroups

Published online by Cambridge University Press:  20 January 2009

Emilia Giraldes
Emilia Giraldes
Affiliation:
Departments de Matemática, Faculdade de Ciencias, Universidade de Lisboa, 1300 Lisboa, Portugal
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This paper is a sequel to [2]. By a semigroup of high rank we mean a semigroup such that for s1≠s2, 〈S\{s1,s2}〉⊂S (properly). Semigroups of high rank such that 〈S\{s}〉⊂S(royal semigroups) were classified in [2], where it was also shown that for a noble semigroup (i.e. a semigroup of high rank such that there exists a superfluous element z in S for which 〈S\{z}〉S) there exists eithere exactly one superfluous element or exactly two superfluous elements [2, Theorem 3.7].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 3 , October 1985 , pp. 409 - 417
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

REFERENCES

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