Miller, Craig Andrew
(2023)
The R-height of semigroups and their bi-ideals.
International Journal of Algebra and Computation.
pp. 47-66.
ISSN 1793-6500
Abstract
The R-height of a semigroup S is the height of the poset of R-classes of S. Given a semigroup S with finite R-height, we establish bounds on the R-height of bi-ideals, one-sided ideals and two-sided ideals; in particular, these substructures inherit the property of having finite R-height. We then investigate whether these bounds can be attained.
Metadata
Item Type:
Article
Authors/Creators:
Miller, Craig Andrew (cm962@york.ac.uk)
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