Petrich, Mario Special congruence triples for a regular semigroup. (English) Zbl 1223.20055 Acta Math. Univ. Comen., New Ser. 80, No. 1, 43-61 (2011). Reviewer: Miroslav Haviar (Banská Bystrica) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Petrich, Mario On congruences on \(\mathcal T\)-regular semigroups. (English) Zbl 1162.20041 Semigroup Forum 77, No. 2, 227-247 (2008). Reviewer: Jaak Henno (Tallinn) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Martins, Paula M.; Petrich, Mario Homomorphisms and congruences of medial semigroups with an associate subgroup. (English) Zbl 1146.20042 Commun. Algebra 36, No. 6, 2143-2159 (2008). Reviewer: Karl Auinger (Wien) MSC: 20M10 20M17 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Petrich, Mario A special congruence lattice of a regular semigroup. (English) Zbl 1156.20058 Acta Math. Univ. Comen., New Ser. 76, No. 2, 201-214 (2007). Reviewer: Jan Jakubík (Košice) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Petrich, Mario Kernel and trace operators for extensions of Brandt semigroups. (English) Zbl 1131.20046 Semigroup Forum 75, No. 1, 18-44 (2007). Reviewer: G. I. Zhitomirskij (Herzliyya) MSC: 20M10 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario \(S\)-classification of regular semigroups. (English) Zbl 1157.20034 Semigroup Forum 71, No. 3, 366-388 (2005). MSC: 20M17 08A30 20M50 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario \(T\)-classification of regular semigroups. (English) Zbl 1157.20033 Semigroup Forum 71, No. 3, 337-365 (2005). MSC: 20M17 08A30 20M50 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The kernel relation for regular semigroups. (English) Zbl 1076.20055 Acta Sci. Math. 70, No. 3-4, 525-544 (2004). Reviewer: Karl Auinger (Wien) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF
Petrich, Mario \(M\)-classification of regular semigroups. (English) Zbl 1020.20037 Semigroup Forum 66, No. 2, 179-211 (2003). Reviewer: P.R.Jones (Milwaukee) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The structure of two-sided networks for completely simple semigroups. (English) Zbl 1007.20061 Publ. Math. Debr. 61, No. 1-2, 11-46 (2002). Reviewer: Oleg V.Gutik (L’viv) MSC: 20M17 20M05 20M10 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario Two-sided networks for completely simple semigroups. (English) Zbl 0967.20035 Commun. Algebra 28, No. 8, 3535-3553 (2000). Reviewer: F.J.Pastijn (Milwaukee) MSC: 20M17 20M05 20M10 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario; Reilly, Norman R. Completely regular semigroups. (English) Zbl 0967.20034 Canadian Mathematical Society Series of Monographs and Advanced Texts. 23. Chichester: Wiley. x, 481 p. (1999). Reviewer: F.J.Pastijn (Milwaukee) MSC: 20M17 20M07 20-02 20M19 20M05 20M18 08A30 08B15 × Cite Format Result Cite Review PDF
Petrich, Mario The kernel relation for an extension of completely \(0\)-simple semigroups. (English) Zbl 0940.20061 Glasg. Math. J. 41, No. 2, 211-230 (1999). Reviewer: M.V.Lawson (Bangor) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario Certain relations on the congruence lattice of a completely regular semigroup. (English) Zbl 0936.20053 Semigroup Forum 59, No. 2, 264-281 (1999). Reviewer: P.R.Jones (Milwaukee) MSC: 20M17 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario Some remarkable congruences on completely regular semigroups. (English) Zbl 0934.20043 Rocky Mt. J. Math. 28, No. 4, 1469-1482 (1998). Reviewer: J.Duda (Brno) MSC: 20M17 08A30 20M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Petrich, Mario A special sublattice of the congruence lattice of a regular semigroup. (English) Zbl 0905.20041 Proc. Edinb. Math. Soc., II. Ser. 40, No. 3, 457-472 (1997). Reviewer: K.Auinger (Wien) MSC: 20M17 08A30 06D05 20M10 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The kernel relation for a strict extension of certain regular semigroups. (English) Zbl 0888.20039 Glasg. Math. J. 38, No. 3, 347-357 (1996). Reviewer: P.R.Jones (Milwaukee) MSC: 20M17 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The kernel relation for a completely regular semigroup. (English) Zbl 0831.20084 J. Algebra 172, No. 1, 90-112 (1995). Reviewer: Peter R. Jones (Milwaukee) MSC: 20M17 08A30 06C05 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The Green relations approach to congruences on completely regular semigroups. (English) Zbl 0819.20066 Ann. Mat. Pura Appl., IV. Ser. 167, 117-146 (1994). Reviewer: F.J.Pastijn (Milwaukee) MSC: 20M10 08A30 20M17 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The kernel and trace operators for ideal extensions of regular semigroups. (English) Zbl 0812.20044 Glasg. Math. J. 36, No. 2, 219-231 (1994). Reviewer: T.J.Harju (Turku) MSC: 20M10 20M15 08A30 20M17 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario Congruence networks for completely simple semigroups. (English) Zbl 0807.20050 J. Aust. Math. Soc., Ser. A 56, No. 2, 243-266 (1994). Reviewer: G.I.Zhitomirskij (Saratov) MSC: 20M10 20M17 08A30 20M15 × Cite Format Result Cite Review PDF
Petrich, Mario Congruence networks for strong semilattices of regular simple semigroups. (English) Zbl 0807.20049 Rocky Mt. J. Math. 23, No. 4, 1385-1408 (1993). Reviewer: G.I.Zhitomirskij (Saratov) MSC: 20M10 20M17 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The kernel relation for certain regular semigroups. (English) Zbl 0790.20080 Boll. Unione Mat. Ital., VII. Ser., B 7, No. 1, 87-110 (1993). Reviewer: F.J.Pastijn (Milwaukee) MSC: 20M17 08A30 20M15 × Cite Format Result Cite Review PDF
Petrich, Mario The congruence lattice of an ideal extension of semigroups. (English) Zbl 0774.20041 Glasg. Math. J. 35, No. 1, 39-50 (1993). Reviewer: P.M.Higgins (Colchester) MSC: 20M10 20M17 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Petrich, Mario The semigroup generated by certain operators on the congruence lattice of a Clifford semigroup. (English) Zbl 0766.20021 Semigroup Forum 45, No. 3, 332-341 (1992). Reviewer: F.J.Pastijn (Milwaukee) MSC: 20M17 20M10 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Geodesic
Pastijn, Francis; Petrich, Mario Congruence lattices on a regular semigroup associated with certain operators. (English) Zbl 0797.20056 Acta Sci. Math. 55, No. 3-4, 229-247 (1991). Reviewer: M.Yamada (Matsue / Shimane) MSC: 20M17 08A30 06B15 20M15 × Cite Format Result Cite Review PDF
Petrich, Mario The kernel relation for a retract extension of Brandt semigroups. (English) Zbl 0723.20040 Boll. Unione Mat. Ital., VII. Ser., B 5, No. 1, 1-19 (1991). Reviewer: P.M.Higgins (Colchester) MSC: 20M17 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: EuDML
Petrich, Mario Congruences on completely regular semigroups. (English) Zbl 0684.20047 Can. J. Math. 41, No. 3, 439-461 (1989). Reviewer: P.R.Jones MSC: 20M10 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Pastijn, Francis; Petrich, Mario The congruence lattice of a regular semigroup. (English) Zbl 0649.20052 J. Pure Appl. Algebra 53, No. 1-2, 93-123 (1988). Reviewer: P.R.Jones MSC: 20M10 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI
Pastijn, Francis; Petrich, Mario Congruences on regular semigroups associated with Green’s relations. (English) Zbl 0621.20036 Boll. Unione Mat. Ital., VII. Ser., B 1, 591-603 (1987). Reviewer: M.Yamada MSC: 20M10 20M15 08A30 × Cite Format Result Cite Review PDF
Pastijn, Francis; Petrich, Mario Congruences on regular semigroups. (English) Zbl 0599.20095 Trans. Am. Math. Soc. 295, 607-633 (1986). Reviewer: T.J.Harju MSC: 20M10 08A30 20M15 × Cite Format Result Cite Review PDF Full Text: DOI