## Petrich, Mario

Compute Distance To:
 Author ID: petrich.mario Published as: Petrich, Mario; Petrich, M. External Links: MGP
 Documents Indexed: 275 Publications since 1962, including 9 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 29 Co-Authors with 102 Joint Publications 546 Co-Co-Authors
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### Co-Authors

 174 single-authored 19 Reilly, Norman R. 10 Silva, Pedro V. 9 Cegarra, Antonio Martínez 9 Gerhard, J. A. 7 Lallement, Gerard J. 7 Pastijn, Francis J. 5 Reis, Cecília M. 5 Thierrin, Gabriel 4 Fountain, John Barringham 4 Rankin, Stuart A. 3 Ault, Janet E. 3 Cherubini, Alessandra 3 Grillet, Pierre Antoine 2 Martins, Paula M. 2 Mitsch, Heinz 2 Müller, Ursula U. 1 Bandelt, Hans-Jürgen 1 Clifford, Alfred H. 1 Ghroda, Nassraddin 1 Gould, Victoria A. R. 1 Hardy, Darel W. 1 Harju, Tero 1 Jürgensen, Helmut 1 Karhumaki, Juhani 1 Knauer, Ulrich 1 Markowsky, George 1 Sichler, Jiří Jan 1 Trnková, Věra 1 Weinert, Hanns Joachim
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### Serials

 32 Semigroup Forum 15 Glasgow Mathematical Journal 12 Communications in Algebra 10 Acta Scientiarum Mathematicarum 10 Transactions of the American Mathematical Society 10 Acta Mathematica Hungarica 9 Czechoslovak Mathematical Journal 9 Journal of Algebra 8 Results in Mathematics 7 Canadian Journal of Mathematics 7 Journal für die Reine und Angewandte Mathematik 7 Proceedings of the American Mathematical Society 6 Pacific Journal of Mathematics 5 Duke Mathematical Journal 4 Algebra Universalis 4 Mathematische Nachrichten 4 Monatshefte für Mathematik 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Publicationes Mathematicae Debrecen 4 Acta Mathematica Universitatis Comenianae. New Series 4 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 4 Journal of the Australian Mathematical Society 4 Bulletin of the American Mathematical Society 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematika 3 Soochow Journal of Mathematics 3 Mathematica Bohemica 3 Journal of the Australian Mathematical Society. Series A 3 Bollettino della Unione Matemàtica Italiana. Serie VII. B 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Lecture Notes in Mathematics 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Archiv der Mathematik 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Mathematica Slovaca 2 Proceedings of the London Mathematical Society. Third Series 2 Studia Scientiarum Mathematicarum Hungarica 2 Bulletin de la Classe des Sciences. 5e Série 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Algebra Colloquium 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Bulletin of the Australian Mathematical Society 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Beiträge zur Algebra und Geometrie 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Fundamenta Mathematicae 1 Mathematische Zeitschrift 1 Portugaliae Mathematica 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Theoretical Computer Science 1 Southeast Asian Bulletin of Mathematics 1 International Journal of Algebra and Computation 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of the Society for Industrial & Applied Mathematics 1 Bulletin de la Société Mathématique de Belgique 1 Mathematische Lehrbücher und Monographien. I. Abteilung: Mathematische Lehrbücher 1 Canadian Mathematical Society Series of Monographs and Advanced Texts 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Cahiers Mathématiques Montpellier
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### Fields

 235 Group theory and generalizations (20-XX) 80 General algebraic systems (08-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 15 Associative rings and algebras (16-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 3 Commutative algebra (13-XX) 3 Information and communication theory, circuits (94-XX) 2 Category theory; homological algebra (18-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX)

### Citations contained in zbMATH Open

197 Publications have been cited 2,058 times in 1,262 Documents Cited by Year
Introduction to semigroups. Zbl 0321.20037
Petrich, Mario
1973
Inverse semigroups. Zbl 0546.20053
Petrich, Mario
1984
Completely regular semigroups. Zbl 0967.20034
Petrich, Mario; Reilly, Norman R.
1999
Lectures in semigroups. Zbl 0369.20036
Petrich, Mario
1977
Lectures in semigroups. Zbl 0353.20048
Petrich, Mario
1977
The translational hull in semigroups and rings. Zbl 0209.04902
Petrich, M.
1970
The maximal semilattice decomposition of a semigroup. Zbl 0124.25801
Petrich, M.
1964
Varieties of bands revisited. Zbl 0676.20038
Gerhard, J. A.; Petrich, Mario
1989
Congruences on regular semigroups. Zbl 0599.20095
Pastijn, Francis; Petrich, Mario
1986
Completely 0-simple semigroups of quotients. Zbl 0589.20041
Fountain, John; Petrich, Mario
1986
The congruence lattice of a regular semigroup. Zbl 0649.20052
Pastijn, Francis; Petrich, Mario
1988
The structure of completely regular semigroups. Zbl 0291.20082
Petrich, Mario
1974
Décompositions I-matricielles d’un demigroupe. Zbl 0136.26602
Lallement, G.; Petrich, M.
1966
Operators related to E-disjunctive and fundamental completely regular semigroups. Zbl 0706.20043
Petrich, Mario; Reilly, Norman R.
1990
Congruences on inverse semigroups. Zbl 0401.20054
Petrich, Mario
1978
Semigroups generated by certain operators on varieties of completely regular semigroups. Zbl 0598.20061
Petrich, Mario; Reilly, Norman R.
1988
A generalization of the Rees theorem in semigroups. Zbl 0205.01703
Lallement, G.; Petrich, M.
1969
Varieties of orthodox bands of groups. Zbl 0317.20042
Petrich, Mario
1975
The translational hull of a completely O-simple semigroup. Zbl 0179.04101
Petrich, M.
1968
Irreducible matrix representations of finite semigroups. Zbl 0205.02504
Lallement, G.; Petrich, M.
1969
Characterization of monoids by torsion-free, flat, projective, and free acts. Zbl 0458.20061
Knauer, Ulrich; Petrich, Mario
1981
Basic properties of $$E$$-inversive semigroups. Zbl 0967.20033
Mitsch, Heinz; Petrich, Mario
2000
A construction and a classification of bands. Zbl 0194.02702
Petrich, M.
1971
Regular semigroups satisfying certain conditions on idempotents and ideals. Zbl 0257.20056
Petrich, Mario
1972
Some results concerning completely 0-simple semigroups. Zbl 0126.04002
Lallement, G.; Petrich, M.
1964
Completely 0-simple semigroups of quotients. III. Zbl 0687.20056
Fountain, John; Petrich, Mario
1989
Canonical varieties of completely regular semigroups. Zbl 1142.20035
Petrich, Mario
2007
Operators related to idempotent generated and monoid completely regular semigroups. Zbl 0708.20019
Petrich, Mario; Reilly, Norman R.
1990
On the varieties of completely regular semigroups. Zbl 0502.20034
Petrich, Mario
1982
Congruences of extensions of semigroups. Zbl 0166.01302
Petrich, M.
1967
Structure d’une classe de demi-groupes réguliers. Zbl 0211.03903
Lallement, G.; Petrich, M.
1969
A network of congruences on an inverse semigroup. Zbl 0484.20026
Petrich, Mario; Reilly, Norman R.
1982
Some classes of completely regular semigroups. Zbl 0354.20043
Clifford, A. H.; Petrich, Mario
1977
Structure of regular semigroups. Zbl 0385.20033
Petrich, Mario
1977
Regular semigroups which are subdirect products of a band and a semilattice of groups. Zbl 0257.20055
Petrich, Mario
1973
A structure theorem for completely regular semigroups. Zbl 0622.20050
Petrich, Mario
1987
Free bands and free *-bands. Zbl 0596.20049
Gerhard, J. A.; Petrich, Mario
1986
Semigroups certain of whose subsemigroups have identities. Zbl 0143.03203
Petrich, M.
1966
On the structure of a class of commutative semigroups. Zbl 0143.03403
Petrich, M.
1964
Subdirect products of rings and distributive lattices. Zbl 0486.16026
Bandelt, Hans-J.; Petrich, Mario
1982
Certain varieties and quasivarieties of completely regular semigroups. Zbl 0342.20029
Petrich, Mario
1977
Normal bands of commutative cancellative semigroups. Zbl 0272.20058
Petrich, Mario
1973
Congruences on strong semilattices of regular simple semigroups. Zbl 0643.20041
Petrich, Mario
1988
Varieties of groups and of completely simple semigroups. Zbl 0502.20033
Petrich, Mario; Reilly, Norman R.
1981
Straight locally inverse semigroups. Zbl 0519.20041
Pastijn, F. J.; Petrich, Mario
1984
A representation of E-unitary inverse semigroups. Zbl 0412.20058
Petrich, M.; Reilly, N. R.
1979
Ideal extensions of semigroups. Zbl 0169.02901
Grillet, P. A.; Petrich, M.
1968
Representations of semigroups and the translational hull of a regular Rees matrix semigroup. Zbl 0205.02503
Petrich, M.
1969
All subvarieties of a certain variety of semigroups. Zbl 0282.20048
Petrich, Mario
1974
Congruences on completely regular semigroups. Zbl 0684.20047
Petrich, Mario
1989
All varieties of regular orthogroups. Zbl 0557.20033
Gerhard, J. A.; Petrich, Mario
1985
Near varieties of idempotent generated completely simple semigroups. Zbl 0516.20037
Petrich, Mario; Reilly, Norman R.
1983
Varieties of completely regular semigroups related to canonical varieties. Zbl 1328.20077
Petrich, Mario
2015
Prime ideals of the cartesian product of two semigroups. Zbl 0124.25702
Petrich, M.
1962
Homomorphisms of a semigroup onto normal bands. Zbl 0143.03204
Petrich, M.
1966
Certain characterizations of varieties of bands. Zbl 0661.20038
Gerhard, J. A.; Petrich, Mario
1988
All varieties of central completely simple semigroups. Zbl 0537.20031
Petrich, Mario; Reilly, Norman R.
1983
Orders in normal bands of groups. Zbl 0876.20038
Fountain, John; Petrich, Mario
1996
Certain varieties of completely regular *-semigroups. Zbl 0582.20039
Petrich, Mario
1985
Brandt semigroups of quotients. Zbl 0589.20042
Fountain, John; Petrich, Mario
1985
Unary semigroups with an associate subgroup. Zbl 1146.20041
Martins, Paula M.; Petrich, Mario
2008
A lattice of varieties of completely regular semigroups. Zbl 1302.20059
Petrich, Mario
2014
Embedding semigroups into idempotent generated ones. Zbl 1075.20025
Petrich, Mario
2004
Structure des demigroupes et anneaux distributifs. Zbl 0175.01702
Petrich, M.
1969
Translational hull and semigroups of binary relations. Zbl 0212.35702
Petrich, M.
1968
Extensions of a Brandt semigroup by another. Zbl 0215.11301
Lallement, G.; Petrich, M.
1970
E-unitary covers and varieties of inverse semigroups. Zbl 0537.20032
Petrich, Mario; Reilly, Norman R.
1983
The word problem for orthogroups. Zbl 0472.20021
Gerhard, J. A.; Petrich, Mario
1981
Regular semigroups as extensions. Zbl 0634.20028
Pastijn, F.; Petrich, M.
1985
Categories of algebraic systems. Vector and projective spaces, semigroups, rings and lattices. Zbl 0357.18005
Petrich, Mario
1976
Ideal extensions of rings. Zbl 0582.16011
Petrich, M.
1985
Restricting idempotents in $$E$$-inversive semigroups. Zbl 1004.20043
Mitsch, Heinz; Petrich, Mario
2001
Structure of relatively free bands. Zbl 1025.20042
Petrich, Mario; Silva, Pedro V.
2002
The maximal matrix decomposition of a semigroup. Zbl 0163.02101
Petrich, M.
1966
Dense extensions of completely O-simple semigroups. I. Zbl 0256.20081
Petrich, Mario
1973
Sur certaines classes de demi-groupes. I, II. Zbl 0124.25704
Petrich, M.
1963
On extensions of semigroups determined by partial homomorphisms. Zbl 0136.26601
Petrich, M.
1966
The modularity of the lattice of varieties of completely regular semigroups and related representations. Zbl 0715.20036
Petrich, Mario; Reilly, Norman R.
1990
The inverse hull of right cancellative semigroups. Zbl 0645.20037
Cherubini, Alessandra; Petrich, Mario
1987
Word problems for free objects in certain varieties of completely regular semigroups. Zbl 0477.20038
Gerhard, J. A.; Petrich, Mario
1983
Congruences on simple $$\omega$$-semigroups. Zbl 0409.20048
Petrich, Mario
1979
Subprojective lattices and projective geometry. Zbl 0434.06013
Markowsky, George; Petrich, Mario
1977
Certain relations on a lattice of varieties of completely regular semigroups. Zbl 1339.20053
Petrich, Mario
2015
The semigroup of endomorphisms of a linear manifold. Zbl 0181.31902
Petrich, M.
1969
On a class of completely semisimple inverse semigroups. Zbl 0207.03201
Petrich, M.
1970
Free products of semigroups amalgamating an ideal. Zbl 0211.33601
Grillet, P. A.; Petrich, M.
1970
On ideals of a semilattice. Zbl 0251.20065
Petrich, Mario
1972
L’enveloppe de translations d’un demi-treillis de groupes. Zbl 0256.20076
Petrich, Mario
1973
Jacobson-type theorems for lattices. Zbl 0265.06008
Petrich, M.
1972
Rings and semigroups. With an appendix by Richard Wiegandt. Zbl 0278.20068
Petrich, Mario
1974
The maximal semilattice decomposition of a semigroup. Zbl 0113.02301
Petrich, M.
1963
Semicharacters of the Cartesian product of two semigroups. Zbl 0118.03101
Petrich, M.
1962
A new approach to orders in simple rings with minimal one-sided ideals. Zbl 0701.16021
Gould, V.; Petrich, M.
1990
Free involutorial completely simple semigroups. Zbl 0552.20040
Gerhard, J. A.; Petrich, Mario
1985
Extensions normales de demi-groupes inverses. Zbl 0488.20045
Petrich, Mario
1981
Certain partial orders on semigroups. Zbl 0983.20056
Petrich, Mario
2001
Rees matrix semigroups over inverse semigroups. Zbl 0596.20051
Pastijn, F. J.; Petrich, Mario
1986
Relatively free bands. Zbl 0970.20034
Petrich, Mario; Silva, Pedro V.
2000
New operators for varieties of completely regular semigroups. Zbl 1341.20060
Petrich, Mario
2015
Characterizations of certain completely regular varieties. Zbl 1027.20037
Petrich, Mario
2003
A conjecture for varieties of completely regular semigroups. Zbl 07093129
Petrich, Mario
2019
On certain lattices of varieties of completely regular semigroups. Zbl 1399.20061
Petrich, Mario
2018
Ladders and canonical varieties of completely regular semigroups. Zbl 1413.20039
Petrich, Mario
2018
Another lattice of varieties of completely regular semigroups. Zbl 1373.20072
Petrich, Mario
2017
Varieties of completely regular semigroups related to canonical varieties. Zbl 1328.20077
Petrich, Mario
2015
Certain relations on a lattice of varieties of completely regular semigroups. Zbl 1339.20053
Petrich, Mario
2015
New operators for varieties of completely regular semigroups. Zbl 1341.20060
Petrich, Mario
2015
An equation for operators on varieties of completely regular semigroups. Zbl 1363.20049
Petrich, M.
2015
On Malcev products of normal cryptogroups. Zbl 1322.20055
Petrich, Mario
2015
Malcev products of weakly cancellative monoids and varieties of bands. Zbl 1328.20078
Petrich, Mario
2015
A lattice of varieties of completely regular semigroups. Zbl 1302.20059
Petrich, Mario
2014
On weakly ample semigroups. Zbl 1316.20068
Petrich, Mario
2014
Characterizing some completely regular semigroups by their subsemigroups. Zbl 1288.20085
Petrich, Mario
2013
On orders in normal cryptogroups. Zbl 1275.20063
Petrich, Mario
2012
Malcev products of unipotent monoids and varieties of bands. Zbl 1247.20067
Petrich, Mario
2011
On some medial semigroups with an associate subgroup. Zbl 1255.20052
Petrich, Mario
2011
Completely regular monoids with two generators. Zbl 1228.20050
Petrich, Mario
2011
Embedding regular semigroups into idempotent generated ones. Zbl 1198.20052
Petrich, Mario
2010
Unary semigroups with an associate subgroup. Zbl 1146.20041
Martins, Paula M.; Petrich, Mario
2008
Characterizing cryptogroups with a finite number of $$\mathcal H$$-classes in each $$\mathcal D$$-class by their subsemigroups. Zbl 1169.20032
Petrich, Mario
2008
Homomorphisms and congruences of medial semigroups with an associate subgroup. Zbl 1146.20042
Martins, Paula M.; Petrich, Mario
2008
The existence of an associate subgroup in normal cryptogroups. Zbl 1181.20051
Petrich, Mario
2008
Canonical varieties of completely regular semigroups. Zbl 1142.20035
Petrich, Mario
2007
A lattice of quasivarieties of normal cryptogroups. Zbl 1130.20045
Petrich, Mario
2007
Onesided inverses for semigroups. Zbl 1156.20055
Petrich, Mario
2006
Commutative cancellative semigroups and rational vector spaces. Zbl 1147.20317
Cegarra, Antonio M.; Petrich, Mario
2006
Structure of commutative cancellative subarchimedean semigroups. Zbl 1132.20037
Cegarra, Antonio M.; Petrich, Mario
2006
On sandwich sets and congruences on regular semigroups. Zbl 1157.20035
Petrich, Mario
2006
The rank of a commutative cancellative semigroup. Zbl 1076.20049
Cegarra, A. M.; Petrich, M.
2005
Embedding semigroups into idempotent generated ones. Zbl 1075.20025
Petrich, Mario
2004
The kernel relation for regular semigroups. Zbl 1076.20055
Petrich, Mario
2004
Completely 0-simple semigroups of left quotients. Zbl 1103.20053
Petrich, Mario
2004
Characterizations of certain completely regular varieties. Zbl 1027.20037
Petrich, Mario
2003
Structure of relatively free bands. Zbl 1025.20042
Petrich, Mario; Silva, Pedro V.
2002
A condition on the natural order for regular semigroups. Zbl 1002.20039
Petrich, Mario
2002
Some relations on the lattice of varieties of completely regular semigroups. Zbl 1072.20067
Petrich, Mario
2002
A relation for general and inverse semigroups. Zbl 1053.20053
Petrich, M.
2002
Restricting idempotents in $$E$$-inversive semigroups. Zbl 1004.20043
Mitsch, Heinz; Petrich, Mario
2001
Certain partial orders on semigroups. Zbl 0983.20056
Petrich, Mario
2001
Bases for existence varieties of strict regular semigroups. Zbl 0992.20043
Petrich, Mario
2001
Orders in completely regular semigroups. Zbl 1036.20054
Petrich, Mario
2001
Basic properties of $$E$$-inversive semigroups. Zbl 0967.20033
Mitsch, Heinz; Petrich, Mario
2000
Relatively free bands. Zbl 0970.20034
Petrich, Mario; Silva, Pedro V.
2000
Relatively free *-bands. Zbl 0970.20030
Petrich, Mario; Silva, Pedro V.
2000
Two-sided networks for completely simple semigroups. Zbl 0967.20035
Petrich, Mario
2000
Orders in strict regular semigroups. Zbl 0981.20053
Petrich, Mario
2000
Completely regular semigroups. Zbl 0967.20034
Petrich, Mario; Reilly, Norman R.
1999
New bases for band varieties. Zbl 0946.20032
Petrich, Mario
1999
Certain relations on the congruence lattice of a completely regular semigroup. Zbl 0936.20053
Petrich, Mario
1999
On directly infinite rings. Zbl 0991.16024
Petrich, M.; Silva, P. V.
1999
On presentations of semigroup rings. Zbl 0924.16022
Petrich, Mario; Silva, Pedro V.
1999
The kernel relation for an extension of completely $$0$$-simple semigroups. Zbl 0940.20061
Petrich, Mario
1999
Binary relations as lattice isomorphisms. Zbl 0961.20048
Hardy, Darel; Petrich, Mario
1999
A special sublattice of the congruence lattice of a regular semigroup. Zbl 0905.20041
Petrich, Mario
1997
Compactness of systems of equations on completely regular semigroups. Zbl 0898.20039
Harju, Tero; Karhumäki, Juhani; Petrich, Mario
1997
Orders in normal bands of groups. Zbl 0876.20038
Fountain, John; Petrich, Mario
1996
The syntactic monoid of the semigroup generated by a maximal prefix code. Zbl 0852.20058
Petrich, Mario; Reis, C. M.; Thierrin, G.
1996
Identities without the star for $$*$$-bands. Zbl 0870.20040
Petrich, M.
1996
The kernel relation for a strict extension of certain regular semigroups. Zbl 0888.20039
Petrich, Mario
1996
Right congruences on a Brandt semigroup. Zbl 0849.20043
Petrich, Mario; Rankin, Stuart
1996
The syntactic monoid of the semigroup generated by a comma-free code. Zbl 0831.20093
Petrich, Mario; Reis, C. M.
1995
The kernel relation for a completely regular semigroup. Zbl 0831.20084
Petrich, Mario
1995
The congruence lattice of an extension of completely $$0$$-simple semigroups. Zbl 0810.20044
Petrich, M.
1994
The Green relations approach to congruences on completely regular semigroups. Zbl 0819.20066
Petrich, Mario
1994
Congruence networks for completely simple semigroups. Zbl 0807.20050
Petrich, Mario
1994
The translational hull of a normal cryptogroup. Zbl 0807.20051
Petrich, Mario
1994
The kernel relation for certain regular semigroups. Zbl 0790.20080
Petrich, Mario
1993
The semigroup generated by certain operators on the congruence lattice of a Clifford semigroup. Zbl 0766.20021
Petrich, Mario
1992
The kernel relation for a retract extension of Brandt semigroups. Zbl 0723.20040
Petrich, Mario
1991
Congruence lattices on a regular semigroup associated with certain operators. Zbl 0797.20056
Pastijn, Francis; Petrich, Mario
1991
Congruence lattices of regular semigroups related to kernels and traces. Zbl 0757.20019
Petrich, Mario
1991
Operators related to E-disjunctive and fundamental completely regular semigroups. Zbl 0706.20043
Petrich, Mario; Reilly, Norman R.
1990
Operators related to idempotent generated and monoid completely regular semigroups. Zbl 0708.20019
Petrich, Mario; Reilly, Norman R.
1990
The modularity of the lattice of varieties of completely regular semigroups and related representations. Zbl 0715.20036
Petrich, Mario; Reilly, Norman R.
1990
A new approach to orders in simple rings with minimal one-sided ideals. Zbl 0701.16021
Gould, V.; Petrich, M.
1990
The syntactic monoid of an infix code. Zbl 0712.68061
Petrich, Mario; Thierrin, Gabriel
1990
Simultaneous representations in categories of algebras. Zbl 0733.18002
Petrich, M.; Sichler, J.; Trnková, V.
1990
Varieties of bands revisited. Zbl 0676.20038
Gerhard, J. A.; Petrich, Mario
1989
Completely 0-simple semigroups of quotients. III. Zbl 0687.20056
Fountain, John; Petrich, Mario
1989
Congruences on completely regular semigroups. Zbl 0684.20047
Petrich, Mario
1989
Harmonic inverse semigroups. Zbl 0679.20055
Petrich, Mario; Rankin, Stuart A.
1989
The Mal’tsev product of quasivarieties of normal bands. Zbl 0674.08008
Gerhard, J. A.; Petrich, Mario
1989
Monogenic endomorphisms of a free monoid. Zbl 0674.20038
Petrich, Mario
1989
The congruence lattice of a regular semigroup. Zbl 0649.20052
Pastijn, Francis; Petrich, Mario
1988
Semigroups generated by certain operators on varieties of completely regular semigroups. Zbl 0598.20061
Petrich, Mario; Reilly, Norman R.
1988
Congruences on strong semilattices of regular simple semigroups. Zbl 0643.20041
Petrich, Mario
1988
Certain characterizations of varieties of bands. Zbl 0661.20038
Gerhard, J. A.; Petrich, Mario
1988
Congruences associated with DOL-schemes. Zbl 0646.20046
Petrich, Mario; Thierrin, Gabriel
1988
A structure theorem for completely regular semigroups. Zbl 0622.20050
Petrich, Mario
1987
The inverse hull of right cancellative semigroups. Zbl 0645.20037
Cherubini, Alessandra; Petrich, Mario
1987
Perfect congruences on a free monoid. Zbl 0611.20036
Petrich, Mario; Reis, C. M.
1987
Cayley theorems for semigroups. Zbl 0616.20031
Petrich, Mario
1987
Congruences on regular semigroups associated with Green’s relations. Zbl 0621.20036
Pastijn, Francis; Petrich, Mario
1987
Congruences on regular semigroups. Zbl 0599.20095
Pastijn, Francis; Petrich, Mario
1986
Completely 0-simple semigroups of quotients. Zbl 0589.20041
Fountain, John; Petrich, Mario
1986
Free bands and free *-bands. Zbl 0596.20049
Gerhard, J. A.; Petrich, Mario
1986
Rees matrix semigroups over inverse semigroups. Zbl 0596.20051
Pastijn, F. J.; Petrich, Mario
1986
All varieties of regular orthogroups. Zbl 0557.20033
Gerhard, J. A.; Petrich, Mario
1985
Certain varieties of completely regular *-semigroups. Zbl 0582.20039
Petrich, Mario
1985
Brandt semigroups of quotients. Zbl 0589.20042
Fountain, John; Petrich, Mario
1985
...and 97 more Documents
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### Cited by 773 Authors

 113 Petrich, Mario 28 Shum, Kar-Ping 27 Gould, Victoria A. R. 26 Reilly, Norman R. 23 Cherubini, Alessandra 23 Pastijn, Francis J. 22 Tamura, Takayuki 18 Lawson, Mark Verus 17 Auinger, Karl 17 Billhardt, Bernd 16 Bogdanović, Stojan M. 16 Ćirić, Miroslav D. 16 Jones, Peter R. 16 Szendrei, Mária B. 15 Dolinka, Igor 15 Fountain, John Barringham 15 Guo, Xiaojiang 15 Guo, Yuqi 15 Wang, Limin 14 Pondělíček, Bedřich 13 Trotter, Peter G. 12 Kehayopulu, Niovi 12 Luo, Yan Feng 12 Meakin, John C. 12 Silva, Pedro V. 12 Steinberg, Benjamin 12 Varisco, Ada 11 East, James 11 Gigoń, Roman S. 11 Margolis, Stuart W. 11 Nordahl, Thomas E. 11 Satyanarayana, M. Venkata 11 Zhao, Xianzhong 10 Gomes, Gracinda M. S. 10 Gutik, Oleg Volodymyrovych 10 Knauer, Ulrich 10 Márki, László 9 Giraldes, Emilia 9 Kaďourek, Jiří 9 Leech, Jonathan Edmund 9 McAlister, Donald B. 9 Mitsch, Heinz 9 Putcha, Mohan S. 9 Schein, Boris M. 9 Vernikov, Boris Munevich 9 Volkov, Mikhail Vladimirovich 9 Wang, Zhengpan 8 Gerhard, J. A. 8 Lee, Edmond W. H. 7 Bulman-Fleming, Sydney 7 Kinyon, Michael K. 7 Lallement, Gerard J. 7 Marques-Smith, Paula 7 Mary, Xavier 7 Mikhalëv, Aleksandr Vasil’evich 7 Okniński, Jan 7 Ren, Miaomiao 7 Ren, Xueming 7 Rodaro, Emanuele 7 Tsingelis, Michael 7 Zhang, Shuhua 6 Almeida, Jorge 6 Feng, Yingying 6 Kilp, Mati 6 Kuroki, Nobuaki 6 Liu, Guoxin 6 Liu, Yun 6 Mills, Janet E. 6 Sen, Mridul Kanti 6 Shao, Yong 6 Tang, Xilin 5 Phạm Ngọc Ánh 5 Ault, Janet E. 5 Banakh, Taras Onufrievich 5 Catino, Francesco 5 El-Qallali, Abdulsalam 5 Goberstein, Simon M. 5 Gould, Matthew I. 5 Kong, Xiangzhi 5 Konieczny, Janusz 5 Koubek, Vaclav 5 Liu, Jingguo 5 Maity, Sunil Kumar 5 Mendes Martins, Paula 5 Piochi, Brunetto 5 Polák, Libor 5 Rankin, Stuart A. 5 Ruškuc, Nik 5 Song, Guangtian 5 Thierrin, Gabriel 4 Araújo, João 4 Bhuniya, Anjan Kumar 4 Chen, Yizhi 4 Clifford, Alfred H. 4 Cvetko-Vah, Karin 4 Dokuchaev, Mikhailo 4 Dudek, Wiesław Aleksander 4 Fan, Xingkui 4 He, Yong 4 Hou, Hailong ...and 673 more Authors
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### Cited in 135 Serials

 421 Semigroup Forum 97 Journal of Algebra 72 Communications in Algebra 58 Czechoslovak Mathematical Journal 40 Journal of Pure and Applied Algebra 40 Transactions of the American Mathematical Society 36 Algebra Universalis 22 Acta Mathematica Hungarica 21 Glasgow Mathematical Journal 18 Periodica Mathematica Hungarica 18 Proceedings of the Edinburgh Mathematical Society. Series II 18 International Journal of Algebra and Computation 16 Mathematica Slovaca 16 Journal of the Australian Mathematical Society 15 Proceedings of the American Mathematical Society 11 Discrete Mathematics 11 Acta Mathematica Sinica. English Series 11 Asian-European Journal of Mathematics 10 Israel Journal of Mathematics 10 Proceedings of the Japan Academy. Series A 10 Results in Mathematics 10 Theoretical Computer Science 10 Algebra Colloquium 9 Matematický Časopis, Slovenskej Akadémie Vied 8 Acta Mathematica Academiae Scientiarum Hungaricae 8 Fuzzy Sets and Systems 7 Rocky Mountain Journal of Mathematics 7 Monatshefte für Mathematik 7 Siberian Mathematical Journal 7 Proceedings of the Japan Academy 7 Open Mathematics 6 Advances in Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Bulletin of the Australian Mathematical Society 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Archiv der Mathematik 5 Mathematische Nachrichten 5 Journal of Mathematical Sciences (New York) 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Soviet Mathematics 4 Mathematika 4 Topology and its Applications 4 Order 4 Science in China. Series A 4 Linear Algebra and its Applications 4 Journal of Algebra and its Applications 4 Bulletin of the American Mathematical Society 4 Afrika Matematika 3 Ukrainian Mathematical Journal 3 Information Sciences 3 Information and Computation 3 Forum Mathematicum 3 Thai Journal of Mathematics 2 Mathematical Notes 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Studia Logica 2 International Journal of Approximate Reasoning 2 Indagationes Mathematicae. New Series 2 Russian Mathematics 2 Turkish Journal of Mathematics 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Theory of Computing Systems 2 Soft Computing 2 Algebras and Representation Theory 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Lobachevskii Journal of Mathematics 2 Portugaliae Mathematica. Nova Série 2 European Journal of Pure and Applied Mathematics 2 Carpathian Mathematical Publications 2 Topological Algebra and its Applications 1 Acta Informatica 1 Archive for History of Exact Sciences 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Theoretical and Mathematical Physics 1 The Mathematical Intelligencer 1 Acta Scientiarum Mathematicarum 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Demonstratio Mathematica 1 Journal of Computer and System Sciences 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Korean Mathematical Society 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico della Università di Padova 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Journal of Information & Optimization Sciences 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Publicacions Matemàtiques 1 International Journal of Foundations of Computer Science 1 Aequationes Mathematicae 1 Historia Mathematica ...and 35 more Serials
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### Cited in 35 Fields

 1,065 Group theory and generalizations (20-XX) 271 General algebraic systems (08-XX) 144 Order, lattices, ordered algebraic structures (06-XX) 118 Associative rings and algebras (16-XX) 49 Computer science (68-XX) 45 Combinatorics (05-XX) 35 Mathematical logic and foundations (03-XX) 30 Topological groups, Lie groups (22-XX) 25 Category theory; homological algebra (18-XX) 14 Functional analysis (46-XX) 13 Abstract harmonic analysis (43-XX) 10 History and biography (01-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 General topology (54-XX) 5 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)