| Title:
|
Pre-solid varieties of semigroups (English) |
| Author:
|
Denecke, K. |
| Author:
|
Koppitz, J. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
171-181 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Pre-hyperidentities generalize the concept of a hyperidentity. A variety $V$ is said to be pre-solid if every identity in $V$ is a pre-hyperidentity. Every solid variety is pre-solid. We consider pre-solid varieties of semigroups which are not solid, determine the smallest and the largest of them, and some elements in this interval. (English) |
| Keyword:
|
hyperidentity |
| Keyword:
|
pre-hyperidentity |
| Keyword:
|
pre-solid variety |
| MSC:
|
08B15 |
| MSC:
|
20M07 |
| idZBL:
|
Zbl 0842.20049 |
| idMR:
|
MR1368256 |
| . |
| Date available:
|
2008-06-06T21:28:46Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107538 |
| . |
| Reference:
|
[1] Denecke K., Koppitz J.: Hyperassociative semigroups.Semigroup Forum, Vol. 49,(1994) 41-48. MR 1272861 |
| Reference:
|
[2] Denecke K., Lau D., Pöschel R., Schweigert D.: Hyperidentities, hyperequational classes and clone congruences.Contributions to General Algebra 7, Verlag Hölder-Pichler-Tempsky, Wien 1991 - Verlag B.G. Teubner, Stuttgart (1991) 97-118. Zbl 0759.08005, MR 1143072 |
| Reference:
|
[3] Denecke K., Wismath S. L.: Solid varieties of semigroups.Semigroup Forum, Vol. 48, (1994) 219-234. Zbl 0797.20045, MR 1256690 |
| Reference:
|
[4] Denecke K., Płonka J.: On regularizations and normalizations of solid varieties.in: General Algebra and Discrete Mathematics, Berlin 1995, 83-92. |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[9] Graczyńska E.: On Normal and Regular Identities and Hyperidentities.Universal and Applied Algebra, Proceedings of the V Universal Algebra Symposium, Turawa, Poland, 3-7 May, 1988, World Scientific, Singapore, New Jersey, London, Hong Kong (1989) 107-135. MR 1084399 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
