| Title:
|
Existence and uniqueness of $(L,\varphi)$-representations of algebras (English) |
| Author:
|
Walendziak, Andrzej |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
35-46 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08A05 |
| MSC:
|
08A30 |
| idZBL:
|
Zbl 0911.08001 |
| idMR:
|
MR1371686 |
| DOI:
|
10.21136/CMJ.1996.127268 |
| . |
| Date available:
|
2009-09-24T09:53:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127268 |
| . |
| Reference:
|
[1] P. Crawley and R. P. Dilworth: Algebraic Theory of Lattices, Prentice Hall, Englewood Cliffs.New Jersey, (1973). |
| Reference:
|
[2] H. Draškovičová: Weak direct product decomposition of algebras, in: Contributions to General Algebra 5, Proc. of Salzburg Conf. 1986.Verlag Holder-Pichler-Tempsky, Wien (1987), 105–121. MR 0930914 |
| Reference:
|
[3] G. Grätzer: General Lattice Theory.Akademie-Verlag, Berlin, 1978. MR 0504338 |
| Reference:
|
[4] G. Grätzer: Universal Algebra.Springer-Verlag, New York, 1979. MR 0538623 |
| Reference:
|
[5] J Hashimoto: Direct, subdirect decompositions and congruence relations.Osaka Math. J. 9 (1957), 87–112. Zbl 0078.01805, MR 0091248 |
| Reference:
|
[6] T. K. Hu: Weak products of simple universal algebras.Math. Nachr. 42 (1969), 157–171. Zbl 0207.02901, MR 0258714, 10.1002/mana.19690420111 |
| Reference:
|
[7] R. McKenzie, G. McNulty and W. Taylor: Algebras, Lattices, Varieties, Volume I, Wadsworth Brooks/Cole.Menterey-California, 1987. MR 0883644 |
| Reference:
|
[8] A. Walendziak: Infinite $\theta $-decomposition in modular lattices, in: Universal and Applied Algebra, Proc. of Turawa Symposium 1988.Vorld Sci. Publishing, Teaneck, NJ, (1989), 321–333. MR 1084413 |
| Reference:
|
[9] A. Walendziak: Infinite $\theta $-decompositions in upper continuous lattices.Comment. Math 29 (1990), 313–324. Zbl 0719.06003, MR 1059137 |
| Reference:
|
[10] A. Walendziak: L-restricted $\varphi $–representations of algebras.Period. Math. Hung 23 (1991), 219–226. MR 1152971, 10.1007/BF02278036 |
| Reference:
|
[11] A. Walendziak: Irredundant $\varphi $-representations of algebras—existence and some uniqueness.Algebra Universalis 30 (1993), 319–330. Zbl 0788.08002, MR 1225871, 10.1007/BF01190440 |
| . |
