| Title:
|
Constructions of cell algebras (English) |
| Author:
|
Haviar, Alfonz |
| Author:
|
Monoszová, Gabriela |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
89-100 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered. (English) |
| Keyword:
|
Plonka sum |
| Keyword:
|
cell algebra |
| Keyword:
|
prelattice |
| MSC:
|
06F99 |
| MSC:
|
08A05 |
| idZBL:
|
Zbl 1111.08002 |
| idMR:
|
MR2128362 |
| DOI:
|
10.21136/MB.2005.134224 |
| . |
| Date available:
|
2009-09-24T22:18:33Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134224 |
| . |
| Reference:
|
[1] S. Burris, H. P. Sankappanavar: A Course in Universal Algebra.Springer, New York, 1981. MR 0648287 |
| Reference:
|
[2] M. D. Gerhardts: Schrägverbände und Quasiordnungen.Math. Ann. 181 (1969), 65–73. Zbl 0175.01403, MR 0241328, 10.1007/BF01351180 |
| Reference:
|
[3] M. D. Gerhardts: Zerlegungshomomorphismen in Schrägverbänden.Arch. Math. 21 (1970), 116–122. Zbl 0199.32201, MR 0265231, 10.1007/BF01220889 |
| Reference:
|
[4] E. Graczyńska: On the sums of double systems of some universal algebras.Bull. de L’Acad. Polon. Sci. Math. Astronom. Phys. 23 (1975), 509–513. MR 0392752 |
| Reference:
|
[5] G. Grätzer: General Lattice Theory.Academic-Verlag, Berlin, 1978. MR 0504338 |
| Reference:
|
[6] A. Haviar: N-Schrägverbände und Quasiordungen.Matematický časopis 23 (1973), 240–248. MR 0327592 |
| Reference:
|
[7] T. Hecht: Constructions of non-commutative algebras.Lectures in Universal Algebra (eds. L. Szabó, A. Szendrei), North-Holland, Amsterdam (1986), 177–187. Zbl 0597.08011, MR 0860264 |
| Reference:
|
[8] J. Leech: Recent developments in the theory of skew lattices.Semigroup Forum 53 (1996), 7–24. Zbl 0844.06003, MR 1363525 |
| Reference:
|
[9] J. Plonka: On a method of construction of abstract algebras.Fund. Math. 61 (1967), 183–189. Zbl 0168.26701, MR 0225701, 10.4064/fm-61-2-183-189 |
| Reference:
|
[10] J. Plonka: Representations of algebras from varieties defined by some regular identities with nullary opertion symbols.Algebra Universalis 33 (1995), 441–457. MR 1331910, 10.1007/BF01225467 |
| Reference:
|
[11] V. Slavík: On skew lattices I.Comment. Math. Univ. Carolin. 14 (1973), 73–85. MR 0319829 |
| Reference:
|
[12] V. Slavík: On skew lattices II.Comment. Math. Univ. Carolin. 14 (1973), 493–506. MR 0344169 |
| Reference:
|
[13] M. Yamada, N. Kimura: Note on idempotent semigroups II.Proc. Japan. Acad. 34 (1958), 110–112. MR 0098141, 10.3792/pja/1195524790 |
| . |
