Title:
|
Semigroups and their natural order (English) |
Author:
|
Mitsch, Heinz |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
44 |
Issue:
|
4 |
Year:
|
1994 |
Pages:
|
445-462 |
. |
Category:
|
math |
. |
MSC:
|
06F05 |
MSC:
|
20M10 |
MSC:
|
20M15 |
MSC:
|
20M17 |
idZBL:
|
Zbl 0816.20057 |
idMR:
|
MR1301953 |
. |
Date available:
|
2009-09-25T10:59:25Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132918 |
. |
Reference:
|
[1] BLYTH T., GОMES G.: On the compatibility of the natural partial order on a regular semigroup.Proc. Roy. Soc. Edinburgh Sect. A 94 (1983), 79-84. MR 0700501 |
Reference:
|
[2] CLIFFОRD A. H., PRESTОN G. B.: The Algebraic Theory of Semigroups.Vol. I, II. Math. Surveys Monographs 7, Amer. Math. Soc, Providence, R.I., 1961, 1967. MR 0132791 |
Reference:
|
[3] FARÉS. N.: Idempotents et D-classes dans les demigroupes et les anneaux.C.R. Acad. Sci. Paris 269 (1969), 341-343. MR 0249532 |
Reference:
|
[4] GREEN J. A.: On the structure of semigroups.Ann. of Math. 54 (1951), 163-172. Zbl 0043.25601, MR 0042380 |
Reference:
|
[5] HARTWIG R.: How to partially order regular elements.Math. Japon. 25 (1980), 1-13. Zbl 0442.06006, MR 0571255 |
Reference:
|
[6] HICKEY J.: On variants of a semigroup.Bull. Austral. Math. Soc. 34 (1986), 447-459. Zbl 0586.20030, MR 0866192 |
Reference:
|
[7] HIGGINS P.: Techniques of Semigroup Theory.Clarendon Press, Оxford, 1992. Zbl 0744.20046, MR 1167445 |
Reference:
|
[8] MITSCH H.: A natural partial order for semigroups.Proc. Amer. Math. Soc. 97 (1986), 384-388. Zbl 0596.06015, MR 0840614 |
Reference:
|
[9] MITSCH H.: Subdirect products of E-inversive semigroups.J. Austral. Math. Soc. Ser. A 48 (1990), 66-78. Zbl 0691.20050, MR 1026837 |
Reference:
|
[10] NAMBООRIPAD К. S.: The natural partial order on a regular semigroup.Prоc. Edinburgh Math. Soc. (2) 23 (1980), 249-260. |
Reference:
|
[11] PETRICH M.: On extensions of semigroups determined by partial homomorphisms.Indag. Math. 28 (1966), 49-51. Zbl 0136.26601, MR 0197610 |
Reference:
|
[12] PETRICH M.: Congruences on strong semilattices of regular, simple semigroups.Semigroup Fоrum 37 (1988), 167-199. Zbl 0643.20041, MR 0938269 |
Reference:
|
[13] PETRICH M.: Introduction to Semigroups.Ch. E. Merill Publishing Company. Columbus, Ohio, 1973. Zbl 0321.20037, MR 0393206 |
Reference:
|
[14] VÁGNER V. V.: Generalized groups.(Russian), Dokl. Akad. Nauk. SSSR (N.S.) 84 (1952), 1119-1122. MR 0048425 |
. |