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The annihilation graphs of commutator posets and lattices
Includes bibliographical references
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613660705193984 |
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| access_status_str | Open Access |
| author | Mehdinezhad, Elham |
| author2 | Janelidze, George |
| author_browse | Janelidze, George Mehdinezhad, Elham |
| author_facet | Janelidze, George Mehdinezhad, Elham |
| author_sort | Mehdinezhad, Elham |
| collection | Thesis |
| description | Includes bibliographical references |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/16687 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:39:41.184Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/16687 The annihilation graphs of commutator posets and lattices Mehdinezhad, Elham Janelidze, George Mathematics and Applied Mathematics annihilation graph zero-divisor graph lattice commutator congruence Includes bibliographical references We propose a new, widely generalized context for the study of the zero-divisor/ annihilating-ideal graphs, where the vertices of graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set (imitating the lattice of ideals), equipped with a binary operation (imitating products of ideals). The intermediate level of congruences of any algebraic structure admitting a "good" theory of commutators is also considered. 2016-02-02T14:39:32Z 2016-02-02T14:39:32Z 2015 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/16687 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics annihilation graph zero-divisor graph lattice commutator congruence Mehdinezhad, Elham The annihilation graphs of commutator posets and lattices |
| thesis_degree_str | Doctoral |
| title | The annihilation graphs of commutator posets and lattices |
| title_full | The annihilation graphs of commutator posets and lattices |
| title_fullStr | The annihilation graphs of commutator posets and lattices |
| title_full_unstemmed | The annihilation graphs of commutator posets and lattices |
| title_short | The annihilation graphs of commutator posets and lattices |
| title_sort | annihilation graphs of commutator posets and lattices |
| topic | Mathematics and Applied Mathematics annihilation graph zero-divisor graph lattice commutator congruence |
| url | http://hdl.handle.net/11427/16687 |
| work_keys_str_mv | AT mehdinezhadelham theannihilationgraphsofcommutatorposetsandlattices AT mehdinezhadelham annihilationgraphsofcommutatorposetsandlattices |