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http://hdl.handle.net/20.500.12188/1966| Title: | On a class of n-groupoids | Authors: | Janeva, Biljana Miovska, Valentina Celakoska-Jordanova, Vesna |
Keywords: | (n,m)-operation, (n,m)-semigroup, n-groupoid, universal semigroup | Issue Date: | 2003 | Publisher: | Union of Mathematicians of Macedonia | Journal: | Proceedings of the II Congress of Math. and Inf. of Macedonia, Ohrid 2000 | Conference: | II Congress of Math. and Inf. of Macedonia, Ohrid 2000 | Abstract: | Using the notion of vector valued semigroups, i.e. (m+k,m)-semigroups, a special class of n-groupoids , named m|k-semigroups, is introduced and some examples of m|k semigroups are given. It is shown that the general associative law (GAL) for m|k-semigroups holds, and someand some consequences of GAL are obtained.A description of the universal semigroup of an m|k-semigroup is given. The notion of m|k-group is also introduced and some properties are shown. | URI: | http://hdl.handle.net/20.500.12188/1966 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics: Conference papers |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| On a class of n-groupoids.pdf | 6.67 MB | Adobe PDF |  View/Open |
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