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## Higgins, Peter Michael

Compute Distance To:
 Author ID: higgins.peter-m Published as: Higgins, P.; Higgins, P. M.; Higgins, Peter M. Homepage: https://www.essex.ac.uk/people/higgi47601/peter-higgins External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 87 Publications since 1981, including 16 Books Reviewing Activity: 250 Reviews
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#### Co-Authors

 58 single-authored 4 Howie, John Mackintosh 4 Ruškuc, Nik 3 Catarino, Paula M. M. C. 3 Mitchell, James D. 2 Ahmad, Imtiaz 2 Almeida, Jorge 2 Alwan, Suhear 2 Ruškuc, Nikola 2 Saker, Christopher J. 1 Alam, Noor 1 Brown, Brenda W. 1 Descalço, L. 1 East, James 1 Edwards, Phillip Martin 1 Fremlin, David H. 1 Goberstein, Simon M. 1 Jackson, Marcel G. 1 Khan, Noor Mohammad 1 Kopamu, Samuel J. 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) 5 Order, lattices, ordered algebraic structures (06-XX) 5 General algebraic systems (08-XX) 5 Mathematics education (97-XX) 3 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH

52 Publications have been cited 411 times in 290 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
Divisors of semigroups of order-preserving mappings on a finite chain. Zbl 0842.20054
Higgins, Peter M.
1995
The monoid of orientation-preserving mappings on a chain. Zbl 0919.20041
Catarino, P. M.; Higgins, P. M.
1999
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
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
Saturated and epimorphically closed varieties of semigroups. Zbl 0539.20033
Higgins, P. M.
1984
Generating the full transformation semigroup using order preserving mappings. Zbl 1043.20041
Higgins, P. M.; Mitchell, J. D.; Ruškuc, N.
2003
Epis are onto for generalised inverse semigroups. Zbl 0475.20052
Higgins, P. M.
1981
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
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
Unavoidable sets of words of uniform length. Zbl 1009.68105
Saker, C. J.; Higgins, P. M.
2002
The range order of a product of i transformations from a finite full transformation semigroup. Zbl 0636.20041
Higgins, Peter M.
1988
The Mitsch order on a semigroup. Zbl 0809.20052
Higgins, Peter M.
1994
A short proof of Isbell’s zigzag theorem. Zbl 0741.20045
Higgins, Peter M.
1990
The determination of all varieties consisting of absolutely closed semigroups. Zbl 0507.20025
Higgins, P. M.
1983
A semigroup with an epimorphically embedded subband. Zbl 0505.20043
Higgins, Peter M.
1983
Unavoidable sets. Zbl 1097.68109
Higgins, Peter M.; Saker, Christopher J.
2006
Finite aperiodic semigroups with commuting idempotents and generalizations. Zbl 0959.20051
Higgins, Peter M.; Margolis, Stuart W.
2000
Permutations of a semigroup that map to inverses. Zbl 1307.20057
Higgins, Peter M.
2014
The product of the idempotents and an $$\mathcal H$$-class of the finite full transformation semigroup. Zbl 1254.20055
Higgins, Peter M.
2012
Set products in transformation semigroups. Zbl 1049.20036
Higgins, Peter M.; Howie, John M.; Ruškuc, Nik
2003
Idempotent depth in semigroups of order-preserving mappings. Zbl 0817.20063
Higgins, Peter M.
1994
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 gap between partial and full: an addendum. Zbl 1029.20029
Almeida, J.; Higgins, P. M.; Volkov, M. V.
2001
The converse of Lallement’s lemma. Zbl 0969.20033
Higgins, Peter M.
1998
Combinatorial aspects of semigroups of order-preserving and decreasing functions. Zbl 0819.20071
Higgins, Peter M.
1993
A class of eventually regular semigroups determined by pseudo-random sets. Zbl 0813.20071
Higgins, Peter M.
1993
Random products in semigroups of mappings. Zbl 0734.20029
Higgins, Peter M.
1990
An algebraic proof that pseudovarieties are defined by pseudoidentities. Zbl 0760.08005
Higgins, Peter M.
1990
Completely semisimple semigroups and epimorphisms. Zbl 0591.20061
Higgins, Peter M.
1986
A method for constructing square roots in finite full transformation semigroups. Zbl 0552.20045
Higgins, Peter M.
1985
Epimorphisms, dominions and $$\mathcal{H}$$-commutative semigroups. Zbl 07182336
Alam, Noor; Higgins, Peter M.; Khan, Noor Mohammad
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
Languages that require full scanning of words to determine membership. Zbl 1355.68159
Higgins, Peter M.; Alwan, Suhear
2013
Generalized Green’s equivalences on the subsemigroups of the bicyclic monoid. Zbl 1221.20041
Descalço, L.; Higgins, P. M.
2010
The pseudovariety generated by all semigroups of orientation-preserving transformations on a finite cycle. Zbl 1010.20052
Catarino, P. M.; Higgins, P. M.
2002
Deciding some embeddability problems for semigroups of mappings. Zbl 0987.20044
Fremlin, David H.; Higgins, Peter M.
2000
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
The naming of Popes and a Fibonacci sequence in two noncommuting indeterminates. Zbl 0608.10014
Higgins, Peter M.
1987
Dense subsets of some common classes of semigroups. Zbl 0601.20058
Higgins, Peter M.
1986
Epimorphisms and semigroup varieties. Zbl 0531.20036
Higgins, Peter M.
1984
Epimorphisms, dominions and $$\mathcal{H}$$-commutative semigroups. Zbl 07182336
Alam, Noor; Higgins, Peter M.; Khan, Noor Mohammad
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
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
Combinatorial aspects of semigroups of order-preserving and decreasing functions. Zbl 0819.20071
Higgins, Peter M.
1993
A class of eventually regular semigroups determined by pseudo-random sets. Zbl 0813.20071
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
Random products in semigroups of mappings. Zbl 0734.20029
Higgins, Peter M.
1990
An algebraic proof that pseudovarieties are defined by pseudoidentities. Zbl 0760.08005
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
The determination of all varieties consisting of absolutely closed semigroups. Zbl 0507.20025
Higgins, P. M.
1983
A semigroup with an epimorphically embedded subband. Zbl 0505.20043
Higgins, Peter M.
1983
Epis are onto for generalised inverse semigroups. Zbl 0475.20052
Higgins, P. M.
1981
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#### Cited in 62 Serials

 81 Semigroup Forum 29 Communications in Algebra 26 Journal of Algebra 14 International Journal of Algebra and Computation 10 Theoretical Computer Science 9 Bulletin of the Australian Mathematical Society 8 Transactions of the American Mathematical Society 7 Algebra Universalis 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Glasgow Mathematical Journal 6 Journal of Pure and Applied Algebra 4 Discrete Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Algebra Colloquium 3 Czechoslovak Mathematical Journal 3 Journal of the Australian Mathematical Society 3 Journal of Algebra and its Applications 3 Asian-European Journal of Mathematics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Algebra and Logic 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Combinatorial Theory. Series A 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Siberian Mathematical Journal 2 Studia Logica 2 Topology and its Applications 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 Algebras and Representation Theory 2 Journal of Discrete Algorithms 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 The Journal of Symbolic Logic 1 Mathematica Slovaca 1 Annals of Pure and Applied Logic 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 International Journal of Foundations of Computer Science 1 Journal of Knot Theory and its Ramifications 1 Computational Complexity 1 Journal of Algebraic Combinatorics 1 Mathematical Logic Quarterly (MLQ) 1 Journal of Mathematical Chemistry 1 Theory of Computing Systems 1 Honam Mathematical Journal 1 Journal of Combinatorial Optimization 1 RAIRO. Theoretical Informatics and Applications 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Central European Journal of Mathematics 1 International Electronic Journal of Algebra (IEJA) 1 Carpathian Mathematical Publications 1 Open Mathematics 1 Algebraic Combinatorics
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#### Cited in 20 Fields

 253 Group theory and generalizations (20-XX) 35 General algebraic systems (08-XX) 33 Combinatorics (05-XX) 32 Computer science (68-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 14 Associative rings and algebras (16-XX) 8 Mathematical logic and foundations (03-XX) 8 Category theory; homological algebra (18-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX)

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