An introduction to Grobner bases WW Adams, WW Adams, WH ADAMS, P Loustaunau, WW Adams American Mathematical Soc., 1994 | 1696 | 1994 |

Joins and intersections H Flenner, L O’Carroll, W Vogel Joins and Intersections, 123-170, 1999 | 226 | 1999 |

F-inverse semigroups R McFadden, L O'Carroll Proceedings of the London Mathematical Society 3 (4), 652-666, 1971 | 62 | 1971 |

Embedding theorems for proper inverse semigroups L O'Carroll Journal of Algebra 42 (1), 26-40, 1976 | 53 | 1976 |

On the generalized fractions of Sharp and Zakeri L O'Carroll Journal of the London Mathematical Society 2 (3), 417-427, 1983 | 51 | 1983 |

Auslander-Buchweitz approximations of equivariant modules M Hashimoto Cambridge University Press, 2000 | 50 | 2000 |

A full uniform Artin-Rees theorem AJ Duncan, L O’Carroll J. reine angew. Math 394, 203-207, 1989 | 36 | 1989 |

On the symmetry of Welch-and Golomb-constructed Costas arrays K Drakakis, R Gow, L O’Carroll Discrete Mathematics 309 (8), 2559-2563, 2009 | 22 | 2009 |

A uniform Artin-Rees theorem and Zariski's main lemma on holomorphic functions L O'Carroll Inventiones mathematicae 90 (3), 647-652, 1987 | 22 | 1987 |

Degree and algebraic properties of lattice and matrix ideals L O'Carroll, F Planas-Vilanova, RH Villarreal SIAM Journal on Discrete Mathematics 28 (1), 394-427, 2014 | 19 | 2014 |

On two theorems concerning reductions in local rings L O’Carroll Journal of Mathematics of Kyoto University 27 (1), 61-67, 1987 | 18 | 1987 |

Strongly E-reflexive inverse semigroups L O'Carroll Proceedings of the Edinburgh Mathematical Society 20 (4), 339-354, 1977 | 18 | 1977 |

Strongly E-reflexive inverse semigroups L O'Carroll Proceedings of the Edinburgh Mathematical Society 20 (4), 339-354, 1977 | 18 | 1977 |

Inverse semigroups as extensions of semilattices L O'Carroll Glasgow Mathematical Journal 16 (1), 12-21, 1975 | 17 | 1975 |

A note on free inverse semigroups L O'carroll Proceedings of the Edinburgh Mathematical Society 19 (1), 17-23, 1974 | 17 | 1974 |

Introduction: A bird's-eye view of lexical blending V Renner, F Maniez, PJL Arnaud | 16 | 2012 |

On some properties of Costas arrays generated via finite fields K Drakakis, R Gow, L O'Carroll 2006 40th Annual Conference on Information Sciences and Systems, 801-805, 2006 | 16 | 2006 |

Finitely generated commutative semigroups DB McAlister, L O'carroll Glasgow Mathematical Journal 11 (2), 134-151, 1970 | 16 | 1970 |

A note on Artin‐Rees Numbers L O'carroll Bulletin of the London Mathematical Society 23 (3), 209-212, 1991 | 14 | 1991 |

Reduced inverse and partially ordered semigroups L O'Carroll Journal of the London Mathematical Society 2 (2), 293-301, 1974 | 12 | 1974 |