DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score: 0.4

SJR: 0.203

SNIP: 0.562

MCQ: 0.12

Index Copernicus: 121.02

Discussiones Mathematicae - General Algebra and Applications

Article in volume


Authors:

R. Subbarayan

R. Subbarayan

Department of Mathematics
Ramakrishna Mission Vivekananda College
Chennai, Tamilnadu, India 600004

email: rsubbarayan2010@gmail.com

A. Vethamanickam

A. Vethamanickam

PG and Research Department of Mathematics
Rani Anna Government College for Women
Tirunelveli, Tamilnadu, India, 627008

email: dr_vethamanickam@yahoo.co.in

V.G.M. Amirtha

V. Gladys Mano Amirtha

PG and Research Department of Mathematics
Rani Anna Government College for Women
Tirunelveli, Tamilnadu, India, 627008

email: gladysmano12@gmail.com

Title:

On Pleasant Eulerian posets

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Source:

Discussiones Mathematicae - General Algebra and Applications 43(1) (2023) 161-171

Received: 2021-07-08 , Revised: 2022-06-22 , Accepted: 2022-08-01 , Available online: 2022-11-29 , https://doi.org/10.7151/dmgaa.1407

Abstract:

In this paper, we classify Eulerian posets of small rank which are pleasant and further show that there is no pleasant Eulerian poset of rank less than are equal to 7.

Keywords:

posets, lattices, Eulerian lattices, pleasant poset

References:

  1. G. Gr General Lattice Theory (Birkhauser Verlag, Basel, 1978).
    https://doi.org/10.1007/978-3-0348-7633-9
  2. V.K. Santhi, Topics in Commutative Algebra, Ph.D. Thesis (Madurai Kamaraj University, 1992).
  3. R.P. Stanley, Enumerative Combinatorics 1 (Wordsworth & Brooks/Cole, 1986).
    https://doi.org/10.1007/978-1-4615-9763-6_1
  4. R. Subbarayan and A. Vethamanickam, Some properties of Eulerian lattices, Comment. Math. Univ. Carolin. 55 (4) (2014) 499–507.
  5. A. Vethamanickam, Topics in Universal Algebra, Ph.D. Thesis (Madurai Kamaraj University, 1994).
  6. A. Vethamanickam and R. Subbarayan, Some simple extensions of Eulerian lattices, Acta Math. Univ. Comenianae 79 (1) (2010) 47–54.

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