## Higgins, Peter Michael

Compute Distance To:
 Author ID: higgins.peter-m Published as: Higgins, Peter M.; Higgins, P. M.; Higgins, P. Homepage: https://www.essex.ac.uk/people/higgi47601/peter-higgins External Links: MGP · Google Scholar · dblp · GND
 Documents Indexed: 84 Publications since 1981, including 13 Books 3 Contributions as Editor Reviewing Activity: 250 Reviews Co-Authors: 27 Co-Authors with 29 Joint Publications 659 Co-Co-Authors
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### Co-Authors

 57 single-authored 6 Ruškuc, Nik 4 Howie, John Mackintosh 3 Catarino, Paula Maria Machado Cruz 3 Mitchell, James D. 2 Ahmad, Imtiaz 2 Almeida, Jorge 2 Alwan, Suhear 2 Saker, Christopher J. 1 Alam, Noor 1 Brown, Bruce M. 1 Descalço, L. 1 East, James 1 Edwards, Phillip Martin 1 Fremlin, David H. 1 Goberstein, Simon M. 1 Ioli, Elena 1 Jackson, Marcel G. 1 Khan, Noor Mohammad 1 Kopamu, Samuel Joseph L. 1 Kublanovskii, Stanislav Itskhokovich 1 Levi, Inessa 1 Margolis, Stuart W. 1 Mikhalëv, Aleksandr Vasil’evich 1 Morayne, Michał 1 Ponizovskiĭ, Iosif Solomonovich 1 Shoji, Kunitaka 1 Volkov, Mikhail Vladimirovich 1 Williams, Evan J.
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### Serials

 15 Semigroup Forum 6 International Journal of Algebra and Computation 4 Glasgow Mathematical Journal 4 Theoretical Computer Science 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Algebra Universalis 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Scientiarum Mathematicarum 1 Ars Combinatoria 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 The Fibonacci Quarterly 1 Indian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Bulletin of the Iranian Mathematical Society 1 Information and Computation 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Automata, Languages and Combinatorics 1 Algebra and Discrete Mathematics 1 International Mathematical Forum 1 Very Short Introductions 1 La Scienza è Facile 1 Nuova Biblioteca Dedalo 1 Senzatempo
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### Fields

 65 Group theory and generalizations (20-XX) 15 General and overarching topics; collections (00-XX) 10 Combinatorics (05-XX) 8 Number theory (11-XX) 8 Computer science (68-XX) 6 General algebraic systems (08-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Mathematics education (97-XX) 3 Probability theory and stochastic processes (60-XX) 2 Mathematical logic and foundations (03-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX)

### Citations contained in zbMATH Open

54 Publications have been cited 458 times in 317 Documents Cited by Year
Techniques of semigroup theory. Zbl 0744.20046
Higgins, Peter M.
1992
On relative ranks of full transformation semigroups. Zbl 0902.20027
Howie, John M.; Ruškuc, N.; Higgins, P. M.
1998
The monoid of orientation-preserving mappings on a chain. Zbl 0919.20041
Catarino, P. M.; Higgins, P. M.
1999
Divisors of semigroups of order-preserving mappings on a finite chain. Zbl 0842.20054
Higgins, Peter M.
1995
Combinatorial results for semigroups of order-preserving mappings. Zbl 0781.20036
Higgins, Peter M.
1993
Countable versus uncountable ranks in infinite semigroups of transformations and relations. Zbl 1043.20040
Higgins, Peter M.; Howie, John M.; Mitchell, James D.; Ruškuc, Nikola
2003
Generators and factorisations of transformation semigroups. Zbl 0920.20056
Higgins, Peter M.; Howie, John M.; Ruškuc, Nikola
1998
Rank properties of endomorphisms of infinite partially ordered sets. Zbl 1101.06001
Higgins, P. M.; Mitchell, J. D.; Morayne, M.; Ruškuc, N.
2006
Generating the full transformation semigroup using order preserving mappings. Zbl 1043.20041
Higgins, P. M.; Mitchell, J. D.; Ruškuc, N.
2003
Saturated and epimorphically closed varieties of semigroups. Zbl 0539.20033
Higgins, P. M.
1984
Digraphs and the semigroup of all functions on a finite set. Zbl 0634.20034
Higgins, Peter M.
1988
Epis are onto for generalised inverse semigroups. Zbl 0475.20052
Higgins, P. M.
1981
Epimorphisms and amalgams. Zbl 0669.20050
Higgins, Peter M.
1988
The varieties of commutative semigroups for which epis are onto. Zbl 0511.20048
Higgins, P. M.
1983
A proof of Simon’s theorem on piecewise testable languages. Zbl 0901.68093
Higgins, Peter M.
1997
Unavoidable sets of words of uniform length. Zbl 1009.68105
Saker, C. J.; Higgins, P. M.
2002
Monoids respecting $$n$$-chains of intervals. Zbl 0873.20040
Almeida, Jorge; Higgins, Peter M.
1997
Epimorphisms, permutation identities and finite semigroups. Zbl 0546.20051
Higgins, Peter M.
1984
The semigroup of conjugates of a word. Zbl 1126.20040
Higgins, Peter M.
2006
Finite aperiodic semigroups with commuting idempotents and generalizations. Zbl 0959.20051
Higgins, Peter M.; Margolis, Stuart W.
2000
The range order of a product of i transformations from a finite full transformation semigroup. Zbl 0636.20041
Higgins, Peter M.
1988
A short proof of Isbell’s zigzag theorem. Zbl 0741.20045
Higgins, Peter M.
1990
A semigroup with an epimorphically embedded subband. Zbl 0505.20043
Higgins, Peter M.
1983
The determination of all varieties consisting of absolutely closed semigroups. Zbl 0507.20025
Higgins, P. M.
1983
The Mitsch order on a semigroup. Zbl 0809.20052
Higgins, Peter M.
1994
Unavoidable sets. Zbl 1097.68109
Higgins, Peter M.; Saker, Christopher J.
2006
Idempotent depth in semigroups of order-preserving mappings. Zbl 0817.20063
Higgins, Peter M.
1994
An algebraic proof that pseudovarieties are defined by pseudoidentities. Zbl 0760.08005
Higgins, Peter M.
1990
Set products in transformation semigroups. Zbl 1049.20036
Higgins, Peter M.; Howie, John M.; Ruškuc, Nik
2003
The product of the idempotents and an $$\mathcal H$$-class of the finite full transformation semigroup. Zbl 1254.20055
Higgins, Peter M.
2012
Permutations of a semigroup that map to inverses. Zbl 1307.20057
Higgins, Peter M.
2014
Epimorphisms, dominions and semigroups. Zbl 0596.20055
Higgins, Peter M.
1985
Burrows-Wheeler transformations and de Bruijn words. Zbl 1278.68238
Higgins, Peter M.
2012
The converse of Lallement’s lemma. Zbl 0969.20033
Higgins, Peter M.
1998
The gap between partial and full: an addendum. Zbl 1029.20029
Almeida, J.; Higgins, P. M.; Volkov, M. V.
2001
Epimorphisms and semigroup varieties. Zbl 0531.20036
Higgins, Peter M.
1984
A class of eventually regular semigroups determined by pseudo-random sets. Zbl 0813.20071
Higgins, Peter M.
1993
A method for constructing square roots in finite full transformation semigroups. Zbl 0552.20045
Higgins, Peter M.
1985
Completely semisimple semigroups and epimorphisms. Zbl 0591.20061
Higgins, Peter M.
1986
The naming of Popes and a Fibonacci sequence in two noncommuting indeterminates. Zbl 0608.10014
Higgins, Peter M.
1987
Random products in semigroups of mappings. Zbl 0734.20029
Higgins, Peter M.
1990
Epimorphisms, dominions and $$\mathcal{H}$$-commutative semigroups. Zbl 1481.20199
Alam, Noor; Higgins, Peter M.; Khan, Noor Mohammad
2020
Green’s relations and stability for subsemigroups. Zbl 07233358
East, James; Higgins, Peter M.
2020
On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations. Zbl 1339.20059
Catarino, Paula; Higgins, Peter M.; Levi, Inessa
2015
Orthodox semigroups and permutation matchings. Zbl 1422.20037
Higgins, Peter M.
2017
Deciding some embeddability problems for semigroups of mappings. Zbl 0987.20044
Fremlin, David H.; Higgins, Peter M.
2000
The pseudovariety generated by all semigroups of orientation-preserving transformations on a finite cycle. Zbl 1010.20052
Catarino, P. M.; Higgins, P. M.
2002
Generalized Green’s equivalences on the subsemigroups of the bicyclic monoid. Zbl 1221.20041
Descalço, L.; Higgins, P. M.
2010
Languages that require full scanning of words to determine membership. Zbl 1355.68159
Higgins, Peter M.; Alwan, Suhear
2013
Embedding semigroups in semibands of depth two. Zbl 0838.20060
Higgins, Peter M.
1995
Embedding in bisimple semigroups. Zbl 0691.20048
Higgins, Peter M.
1990
Dense subsets of some common classes of semigroups. Zbl 0601.20058
Higgins, Peter M.
1986
The length of short words in unavoidable sets. Zbl 1234.05010
Higgins, Peter M.
2011
Combinatorial aspects of semigroups of order-preserving and decreasing functions. Zbl 0819.20071
Higgins, Peter M.
1993
Epimorphisms, dominions and $$\mathcal{H}$$-commutative semigroups. Zbl 1481.20199
Alam, Noor; Higgins, Peter M.; Khan, Noor Mohammad
2020
Green’s relations and stability for subsemigroups. Zbl 07233358
East, James; Higgins, Peter M.
2020
Orthodox semigroups and permutation matchings. Zbl 1422.20037
Higgins, Peter M.
2017
On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations. Zbl 1339.20059
Catarino, Paula; Higgins, Peter M.; Levi, Inessa
2015
Permutations of a semigroup that map to inverses. Zbl 1307.20057
Higgins, Peter M.
2014
Languages that require full scanning of words to determine membership. Zbl 1355.68159
Higgins, Peter M.; Alwan, Suhear
2013
The product of the idempotents and an $$\mathcal H$$-class of the finite full transformation semigroup. Zbl 1254.20055
Higgins, Peter M.
2012
Burrows-Wheeler transformations and de Bruijn words. Zbl 1278.68238
Higgins, Peter M.
2012
The length of short words in unavoidable sets. Zbl 1234.05010
Higgins, Peter M.
2011
Generalized Green’s equivalences on the subsemigroups of the bicyclic monoid. Zbl 1221.20041
Descalço, L.; Higgins, P. M.
2010
Rank properties of endomorphisms of infinite partially ordered sets. Zbl 1101.06001
Higgins, P. M.; Mitchell, J. D.; Morayne, M.; Ruškuc, N.
2006
The semigroup of conjugates of a word. Zbl 1126.20040
Higgins, Peter M.
2006
Unavoidable sets. Zbl 1097.68109
Higgins, Peter M.; Saker, Christopher J.
2006
Countable versus uncountable ranks in infinite semigroups of transformations and relations. Zbl 1043.20040
Higgins, Peter M.; Howie, John M.; Mitchell, James D.; Ruškuc, Nikola
2003
Generating the full transformation semigroup using order preserving mappings. Zbl 1043.20041
Higgins, P. M.; Mitchell, J. D.; Ruškuc, N.
2003
Set products in transformation semigroups. Zbl 1049.20036
Higgins, Peter M.; Howie, John M.; Ruškuc, Nik
2003
Unavoidable sets of words of uniform length. Zbl 1009.68105
Saker, C. J.; Higgins, P. M.
2002
The pseudovariety generated by all semigroups of orientation-preserving transformations on a finite cycle. Zbl 1010.20052
Catarino, P. M.; Higgins, P. M.
2002
The gap between partial and full: an addendum. Zbl 1029.20029
Almeida, J.; Higgins, P. M.; Volkov, M. V.
2001
Finite aperiodic semigroups with commuting idempotents and generalizations. Zbl 0959.20051
Higgins, Peter M.; Margolis, Stuart W.
2000
Deciding some embeddability problems for semigroups of mappings. Zbl 0987.20044
Fremlin, David H.; Higgins, Peter M.
2000
The monoid of orientation-preserving mappings on a chain. Zbl 0919.20041
Catarino, P. M.; Higgins, P. M.
1999
On relative ranks of full transformation semigroups. Zbl 0902.20027
Howie, John M.; Ruškuc, N.; Higgins, P. M.
1998
Generators and factorisations of transformation semigroups. Zbl 0920.20056
Higgins, Peter M.; Howie, John M.; Ruškuc, Nikola
1998
The converse of Lallement’s lemma. Zbl 0969.20033
Higgins, Peter M.
1998
A proof of Simon’s theorem on piecewise testable languages. Zbl 0901.68093
Higgins, Peter M.
1997
Monoids respecting $$n$$-chains of intervals. Zbl 0873.20040
Almeida, Jorge; Higgins, Peter M.
1997
Divisors of semigroups of order-preserving mappings on a finite chain. Zbl 0842.20054
Higgins, Peter M.
1995
Embedding semigroups in semibands of depth two. Zbl 0838.20060
Higgins, Peter M.
1995
The Mitsch order on a semigroup. Zbl 0809.20052
Higgins, Peter M.
1994
Idempotent depth in semigroups of order-preserving mappings. Zbl 0817.20063
Higgins, Peter M.
1994
Combinatorial results for semigroups of order-preserving mappings. Zbl 0781.20036
Higgins, Peter M.
1993
A class of eventually regular semigroups determined by pseudo-random sets. Zbl 0813.20071
Higgins, Peter M.
1993
Combinatorial aspects of semigroups of order-preserving and decreasing functions. Zbl 0819.20071
Higgins, Peter M.
1993
Techniques of semigroup theory. Zbl 0744.20046
Higgins, Peter M.
1992
A short proof of Isbell’s zigzag theorem. Zbl 0741.20045
Higgins, Peter M.
1990
An algebraic proof that pseudovarieties are defined by pseudoidentities. Zbl 0760.08005
Higgins, Peter M.
1990
Random products in semigroups of mappings. Zbl 0734.20029
Higgins, Peter M.
1990
Embedding in bisimple semigroups. Zbl 0691.20048
Higgins, Peter M.
1990
Digraphs and the semigroup of all functions on a finite set. Zbl 0634.20034
Higgins, Peter M.
1988
Epimorphisms and amalgams. Zbl 0669.20050
Higgins, Peter M.
1988
The range order of a product of i transformations from a finite full transformation semigroup. Zbl 0636.20041
Higgins, Peter M.
1988
The naming of Popes and a Fibonacci sequence in two noncommuting indeterminates. Zbl 0608.10014
Higgins, Peter M.
1987
Completely semisimple semigroups and epimorphisms. Zbl 0591.20061
Higgins, Peter M.
1986
Dense subsets of some common classes of semigroups. Zbl 0601.20058
Higgins, Peter M.
1986
Epimorphisms, dominions and semigroups. Zbl 0596.20055
Higgins, Peter M.
1985
A method for constructing square roots in finite full transformation semigroups. Zbl 0552.20045
Higgins, Peter M.
1985
Saturated and epimorphically closed varieties of semigroups. Zbl 0539.20033
Higgins, P. M.
1984
Epimorphisms, permutation identities and finite semigroups. Zbl 0546.20051
Higgins, Peter M.
1984
Epimorphisms and semigroup varieties. Zbl 0531.20036
Higgins, Peter M.
1984
The varieties of commutative semigroups for which epis are onto. Zbl 0511.20048
Higgins, P. M.
1983
A semigroup with an epimorphically embedded subband. Zbl 0505.20043
Higgins, Peter M.
1983
The determination of all varieties consisting of absolutely closed semigroups. Zbl 0507.20025
Higgins, P. M.
1983
Epis are onto for generalised inverse semigroups. Zbl 0475.20052
Higgins, P. M.
1981
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