| Techniques of semigroup theory PM Higgins Oxford University Press, 1992 | 576 | 1992 |
| The Monoid of Orientation-preserving Mappings on a Chain. PM Catarino, PM Higgins Semigroup Forum 58 (2), 1999 | 112 | 1999 |
| Combinatorial results for semigroups of order-preserving mappings PM Higgins Mathematical Proceedings of the Cambridge Philosophical Society 113 (2), 281-296, 1993 | 97 | 1993 |
| On relative ranks of full transformation semigroups JM Howie, N Ruškuc, PM Higgins Communications in Algebra 26 (3), 733-748, 1998 | 83 | 1998 |
| Number story: From counting to cryptography PM Higgins Springer Science & Business Media, 2008 | 57 | 2008 |
| Countable versus uncountable ranks in infinite semigroups of transformations and relations PM Higgins, JM Howie, JD Mitchell, N Ruškuc Proceedings of the Edinburgh Mathematical Society 46 (3), 531-544, 2003 | 53 | 2003 |
| Generators and factorisations of transformation semigroups PM Higgins, JM Howie, N Ruškuc Proceedings of the Royal Society of Edinburgh Section A: Mathematics 128 (6 …, 1998 | 53 | 1998 |
| Divisors of semigroups of order-preserving mappings on a finite chain PM Higgins Int. J. Algebra Comput. 5 (6), 725-742, 1995 | 53 | 1995 |
| Epimorphisms and amalgams PM Higgins Colloquium Mathematicum 1 (56), 1-17, 1988 | 38 | 1988 |
| Saturated and epimorphically closed varieties of semigroups PM Higgins Journal of the Australian Mathematical Society 36 (2), 153-175, 1984 | 37 | 1984 |
| Generating the full transformation semigroup using order preserving mappings PM Higgins, JD Mitchell, N Ruškuc Glasgow Mathematical Journal 45 (3), 557-566, 2003 | 35 | 2003 |
| Epis are onto for generalised inverse semigroups PM Higgins Semigroup Forum 23, 255-259, 1981 | 27 | 1981 |
| A proof of Simon's theorem on piecewise testable languages PM Higgins Theoretical computer science 178 (1-2), 257-264, 1997 | 26 | 1997 |
| Idempotent depth in semigroups of order-preserving mappings PM Higgins Proceedings of the Royal Society of Edinburgh Section A: Mathematics 124 (5 …, 1994 | 25 | 1994 |
| The range order of a product of i transformations from a finite full transformation semigroup PM Higgins Semigroup forum 37 (1), 31-36, 1988 | 23 | 1988 |
| Epimorphisms, permutation identities and finite semigroups PM Higgins Semigroup Forum 29, 87-97, 1984 | 23 | 1984 |
| Rank properties of endomorphisms of infinite partially ordered sets PM Higgins, JD Mitchell, M Morayne, N Ruškuc Bulletin of the London Mathematical society 38 (2), 177-191, 2006 | 21 | 2006 |
| Finite aperiodic semigroups with commuting idempotents and generalizations PM Higgins, SW Margolis Israel Journal of Mathematics 116, 367-380, 2000 | 21 | 2000 |
| Digraphs and the semigroup of all functions on a finite set PM Higgins Glasgow mathematical journal 30 (1), 41-57, 1988 | 20 | 1988 |
| A semigroup with an epimorphically embedded subband PM Higgins Bulletin of the Australian Mathematical Society 27 (2), 231-242, 1983 | 20 | 1983 |
