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Bhavale, A. N.
- Posets Dismantlable by Doubly Irreducibles
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1 Department of Mathematics, P.E.S. Modern College of Arts, Science and Commerce, Shivajinagar, Pune-411005, IN
2 Centre for Advanced Study in Mathematics, Department of Mathematics, Savitribai Phule Pune University, Pune-411007, IN
1 Department of Mathematics, P.E.S. Modern College of Arts, Science and Commerce, Shivajinagar, Pune-411005, IN
2 Centre for Advanced Study in Mathematics, Department of Mathematics, Savitribai Phule Pune University, Pune-411007, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 1-2 (2021), Pagination: 46–59Abstract
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.Keywords
Chain, Lattice, Poset, Doubly irreducible elementReferences
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