| Title:
|
On super hamiltonian semigroups (English) |
| Author:
|
Shum, K. P. |
| Author:
|
Ren, X. M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
247-252 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The concept of super hamiltonian semigroup is introduced. As a result, the structure theorems obtained by A. Cherubini and A. Varisco on quasi commutative semigroups and quasi hamiltonian semigroups respectively are extended to super hamiltonian semigroups. (English) |
| Keyword:
|
quasi hamiltonian semigroups |
| Keyword:
|
super hamiltonian semigroups |
| Keyword:
|
quasi commutative semigroups |
| Keyword:
|
quasi-groups |
| Keyword:
|
strong semilattices of semigroups |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 1051.20024 |
| idMR:
|
MR2040236 |
| . |
| Date available:
|
2009-09-24T11:11:51Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127881 |
| . |
| Reference:
|
[1] M. Chacron and G. Thierrin: $\sigma $-reflexive semigroups and rings.Canad. Math. Bull. 15 (1972), 185–188. MR 0306361, 10.4153/CMB-1972-033-3 |
| Reference:
|
[2] A. Cherubini Spoletini and A. Varisco: Quasi commutative semigroups and $\sigma $-reflexive semigroups.Semigroup Forum 19 (1980), 313–321. MR 0569810, 10.1007/BF02572524 |
| Reference:
|
[3] A. Cherubini Spoletini and A. Varisco: Quasi hamoltoniam semigroups.Czechoslovak Math. J. 33(108) (1983), 131–140. MR 0687426 |
| Reference:
|
[4] Z. L. Gao and K. P. Shum: On cyclic commutative po-semigroups.PU.M.A. 18 (1997), 261–273. MR 1630495 |
| Reference:
|
[5] H. Lal: Quasi commutative primary semigroups.Mat. Vesnik 12 (1975), 271–278. Zbl 0317.20037, MR 0382504 |
| Reference:
|
[6] N. P. Mukherjee: Quasi commutative semigroups I.Czechoslovak Math. J. 22(97) (1972), 449–453. MR 0308301 |
| Reference:
|
[7] C. S. H. Nagore: Quasi commutative Q-semigroups.Semigroup Forum 15 (1978), 189–193. Zbl 0378.20046, MR 0473062, 10.1007/BF02195752 |
| Reference:
|
[8] M. Petrich: Lectures in Semigroups.Akademie Verlag, Berlin, 1977. Zbl 0369.20036, MR 0447437 |
| Reference:
|
[9] B. Pondělíček: On weakly commutative semigroups.Czechoslovak. Math. J. 25(100) (1975), 20–23. MR 0387460 |
| Reference:
|
[10] M. S. Putcha: Bands of $t$-archimedean semigroups.Semigroup Forum 6 (1973), 232–239. MR 0374303, 10.1007/BF02389126 |
| Reference:
|
[11] K. P. Shum, X. M. Ren and Y. Q. Guo: On Quasi-Left Groups.Groups-Korea’94, Walter de Gruyter & Co., Berlin, New York, 1995, pp. 285–288. MR 1476972 |
| Reference:
|
[12] K. P. Shum and Y. Q. Guo: Regular semigroups and its generalizations.Lecture Series 181 (Pure & Applied Math.), Marcell Dekker INC., 1996, pp. 181–225. MR 1408694 |
| . |
