Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4648
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Garba, G.U. | - |
dc.contributor.author | Imam, A.T. | - |
dc.date.accessioned | 2020-01-14T10:17:19Z | - |
dc.date.available | 2020-01-14T10:17:19Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4648 | - |
dc.description | Garba G.U. Generators and ranks in finite partial transformation semigroups / G. U.Garba, A.T.Imam // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 2. - Рp. 237 - 248 | uk_UA |
dc.description.abstract | We extend the concept of path-cycles, defined in [2], to the semigroup Pn, of all partial maps on Xn = {1, 2, . . . , n}, and show that the classical decomposition of permutations into disjoint cycles can be extended to elements of Pn by means of path- cycles. The device is used to obtain information about generating sets for the semigroup Pn \ Sn, of all singular partial maps of Xn. Moreover, by analogy with [3], we give a definition for the (m, r)-rank of Pn \ Sn and show that it is n(n+1) 2. | uk_UA |
dc.language.iso | other | uk_UA |
dc.relation.ispartofseries | Математичні науки; | - |
dc.subject | path-cycle | uk_UA |
dc.subject | (m, r)-path-cycle | uk_UA |
dc.subject | m-path | uk_UA |
dc.subject | generating set | uk_UA |
dc.subject | (m, r)-rank. | uk_UA |
dc.title | Generators and ranks in finite partial transformation semigroups | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (23). - 2017 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
128-1606-1-PB.pdf | 324.99 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.