The R-height of semigroups and their bi-ideals

TY - JOUR

T1 - The R-height of semigroups and their bi-ideals

AU - Miller, Craig Andrew

N1 - This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

U2 - 10.1142/S0218196723500054

DO - 10.1142/S0218196723500054

M3 - Article

SN - 0218-1967

VL - 33

SP - 47

EP - 66

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 1

ER -