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http://hdl.handle.net/123456789/1018| Title: | Posets Dismantlable by Doubly Irreducibles |
| Authors: | Bhavale, A.N. Waphare, B.N. |
| Keywords: | Mathematics Chain, Lattice, Poset, Doubly irreducible element |
| Issue Date: | Jan-2021 |
| Publisher: | The Journal of the Indian Mathematical Society |
| Abstract: | In this paper, we introduce the concept of a poset dismantlable by doubly irreducibles. We also introduce the operations, `1-sum' and `2-sum' of posets. Using these operations, we obtain the structure theorem for posets dismantlable by doubly irreducibles, which generalizes the structure theorem for dismantlable lattices. |
| URI: | http://hdl.handle.net/123456789/1018 |
| ISSN: | 2455-6475 |
| Appears in Collections: | Research Papers |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Posets Dismantlable by Doubly Irreducibles.pdf | Posets Dismantlable by Doubly Irreducibles. | 175.95 kB | Adobe PDF | View/Open |
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