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The ℛ-height of semigroups and their bi-ideals.
- Source :
-
International Journal of Algebra & Computation . Feb2023, Vol. 33 Issue 1, p47-66. 20p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 02181967
- Volume :
- 33
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Algebra & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 161723815
- Full Text :
- https://doi.org/10.1142/S0218196723500054