NDLI: The lattice of completely regular semigroup varieties

Content Provider	Scilit
Author	Pastijn, Francis
Copyright Year	1990
Description	A completely regular semigroup is a semigroup which is a union of groups. The class CR of completely regular semigroups forms a variety. On the lattice L (CR) of completely regular semigroup varieties we define two closure operations which induce complete congruences. The consideration of a third complete congruence on L (CR) yields a subdirect decomposition of L (CR). Using these results we show that L (CR) is arguesian. This confirms the (tacit) conjecture that L (CR) is modular.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EBF58214AA49FAF1DAAF4475E7D66C95/S1446788700030214a.pdf/div-class-title-the-lattice-of-completely-regular-semigroup-varieties-div.pdf
Ending Page	42
Page Count	19
Starting Page	24
ISSN	02636115
DOI	10.1017/s1446788700030214
Journal	Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
Issue Number	1
Volume Number	49
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1990-08-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics Primary 20 M 05 Secondary 20 M 07 08 B 15
Content Type	Text
Resource Type	Article

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The lattice of completely regular semigroup varieties