| Title:
|
Radicals of Green’s relations (English) |
| Author:
|
Bogdanović, Stojan |
| Author:
|
Ćirić, Miroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
683-688 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some structural descriptions of semigroups in which the radicals of Green’s relations are semilattice congruences will be given. (English) |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 1008.20050 |
| idMR:
|
MR1746696 |
| . |
| Date available:
|
2009-09-24T10:26:32Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127520 |
| . |
| Reference:
|
[1] S. Bogdanović: Semigroups with a system of subsemigroups.Inst. of Math., Novi Sad, 1985. MR 0812051 |
| Reference:
|
[2] S. Bogdanović and M. Ćirić: Semigroups.Prosveta, Niš, 1993 (Serbian). |
| Reference:
|
[3] S. Bogdanović and M. Ćirić: Semilattices of Archimedean semigroups and (completely) $\pi $-regular semigroups, I.Filomat (Niš) 7 (1993), 1–40 (Survey Article). MR 1301859 |
| Reference:
|
[4] M. Ćirić and S. Bogdanović: Decompositions of semigroups induced by identities.Semigroup Forum 46 (1993), 329–346. MR 1206211, 10.1007/BF02573576 |
| Reference:
|
[5] M. Ćirić and S. Bogdanović: Semilattice decompositions of semigroup.Semigroup Forum 52 (1996), 119–132. MR 1371796, 10.1007/BF02574089 |
| Reference:
|
[6] A. H. Clifford and G. B. Preston: The algebraic theory of semigroups.Vol 1, Amer. Math. Soc., 1961. MR 0132791 |
| Reference:
|
[7] D. W. Miller: Some aspects of Green’s relations on periodic semigroups.Czechoslovak Math. J. 33 (108) (1983), 537–544. Zbl 0538.20030, MR 0721084 |
| Reference:
|
[8] M. Petrich: Lectures in semigroups.Akad. Verlag, Berlin, 1977. Zbl 0369.20036, MR 0447437 |
| Reference:
|
[9] M. Petrich: Semigroup certain of whose subsemigroups have identities.Czechoslovak Math. J. 16 (91) (1966), 186–198. MR 0200370 |
| Reference:
|
[10] B. Ponděliček: A certain equivalence on a semigroup.Czechoslovak Math. J. 21 (95) (1971), 109–117. MR 0283110 |
| Reference:
|
[11] M. S. Putcha: Semigroups in which a power of each element lies in a subgroup.Semigroup Forum 5 (1973), 354–361. Zbl 0259.20052, MR 0316613 |
| Reference:
|
[12] M. S. Putcha: Semilattice decompositions of semigroups.Semigroup Forum 6 (1973), 12–34. Zbl 0256.20074, MR 0369582, 10.1007/BF02389104 |
| Reference:
|
[13] J. T. Sedlock: Green’s relations on a periodic semigroup.Czechoslovak Math. J. 19 (94) (1969), 318–322. Zbl 0214.03504, MR 0244426 |
| Reference:
|
[14] L. N. Shevrin: Theory of epigroups I.Mat. Sbornik 185 (1994), no. 8, 129–160. (Russian) Zbl 0839.20073, MR 1302627 |
| Reference:
|
[15] T. Tamura: On Putcha’s theorem concerning semilattice of Archimedean semigroups.Semigroup Forum 4 (1972), 83–86. Zbl 0256.20075, MR 0297663, 10.1007/BF02570773 |
| . |
