Posets Dismantlable by Doubly Irreducibles

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Authors

  • A. N. Bhavale
     Department of Mathematics, P.E.S. Modern College of Arts, Science and Commerce, Shivajinagar, Pune-411005 ,IN
  • B. N. Waphare
     Centre for Advanced Study in Mathematics, Department of Mathematics, Savitribai Phule Pune University, Pune-411007 ,IN

DOI:

https://doi.org/10.18311/jims/2021/26053

Keywords:

Chain, Lattice, Poset, Doubly irreducible element

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.

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Published

2021-01-28

How to Cite

Bhavale, A. N., & Waphare, B. N. (2021). Posets Dismantlable by Doubly Irreducibles. The Journal of the Indian Mathematical Society, 88(1-2), 46–59. https://doi.org/10.18311/jims/2021/26053

Issue

Volume 88, Issue 1-2, January-June 2021

Section

Articles

License

Copyright (c) 2021 A. N. Bhavale, B. N. Waphare

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-09-14
Accepted 2020-09-16
Published 2021-01-28

 

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