| Title:
|
$r$-systems of unary algebras. I: On maximal and greatest $J$-classes of the direct product of unary algebras (English) |
| Author:
|
Abrhan, Imrich |
| Author:
|
Satko, Ladislav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
55-68 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08A60 |
| MSC:
|
20M12 |
| idZBL:
|
Zbl 0799.08006 |
| idMR:
|
MR1290273 |
| . |
| Date available:
|
2009-09-25T10:53:39Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133167 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/128586 |
| . |
| Reference:
|
[1] ABRHAN I.: Sets of nilpotent elements and radicals of the direct product of semigroups.(Russian), Mat. Cas. 18 (1968), 25-33. MR 0240225 |
| Reference:
|
[2] ABRHAN I.: On (H, T) -ideals of the direct product of semigroups.(Slovak), Mat. Gas. 21 (1971), 199-213. MR 0302793 |
| Reference:
|
[3] ABRHAN I.: On maximal subalgebras of unary algebras.(Russian), Mat. Čas. 24 (1974), 113-128. MR 0387156 |
| Reference:
|
[4] ABRHAN I.: On J-subalgebras of unary algebras and J-ideals of groupoids.(Slovak). In: Theses for habilitation, SjF STU, Bratislava, 1976. |
| Reference:
|
[5] ABRHAN I.: On J-subalgebras of unary algebras, on prime ideals and J-ideals of groupoids and semigroups.(Russian), Math. Slovaca 28 (1978), 61-80. MR 0527775 |
| Reference:
|
[6] ABRHAN I.: On prime ideals of groupoids and multiplicative semigroups of equivalence classes (mod m).(Russian), Math. Slovaca 34 (1984), 121-133. MR 0744946 |
| Reference:
|
[7] GRÄTZER G.: Universal Algebra., Van Nostrand, Princeton, N.J., 1968. MR 0248066 |
| Reference:
|
[8] FABRICI I.: On complete ideals in semigroups., Mat. Čas. 18 (1968), 34-39. Zbl 0169.02902, MR 0238978 |
| Reference:
|
[9] HRMOVÁ R. : Generalized ideals in semigroups.(Russian), Mat.-fyz. Čas. 13 (1963), 11-51. MR 0152599 |
| Reference:
|
[10] IVAN J.: On the direct product of semigroups.(Slovak), Mat.-fyz. Čas. 3 (1953), 57-66. MR 0062733 |
| Reference:
|
[11] IVAN J.: Simplicity and minimal ideals of the direct product of semigroups.(Russian). Mat.-fyz. Čas. 13 (1963), 114-124. MR 0159894 |
| Reference:
|
[12] PETRICH M.: Prime ideals of the Cartesian product of two semigroups.Czechoslovak Math. J. 12 (1962), 150-152. Zbl 0124.25702, MR 0140597 |
| Reference:
|
[13] PETRICH M.: Idéaux demi-premiers du produit Cartésien d'un nombre fini de demigroupes.C.R. Acad. Sci. Paris 256 (1963), 3950-3953. MR 0148774 |
| Reference:
|
[14] PLEMONS R.: Maximal ideals in the direct product of two semigroups.Czechoslovak Math. J. 17 (1967), 357-360. MR 0214681 |
| Reference:
|
[15] PONDĚLÍČEK B.: Right prime ideals and maximal right ideals in semigroups.Mat. Čas. 21 (1971), 87-90. Zbl 0219.20043, MR 0302801 |
| Reference:
|
[16] SCHWARZ Š.: Prime ideals and maximal ideals in semigroups.Czechoslovak Math. J. 12 (1969), 72-79. Zbl 0176.29503, MR 0237680 |
| . |
