Multipliers in Almost (m, m+1)-semilattice

Authors

  • E A Geoferlin Jesho
  • A Pramila Inpa Rose

DOI:

https://doi.org/10.22399/ijcesen.4499

Keywords:

Semilattice, Almost (m,n)-semilattice, Almost (m,n)-semilattice with zero, Almost semilattice, Multipliers, Order relation

Abstract

The concept of multipliers in an Almost (m, m+1)-semilattice is introduced and we prove some important results of Almost (m, m+1)-semilattice. In this paper, we introduced the definition for an order relation and almost (m,n)-semilattice with zero. Also we proved some important remarks, lemmas and properties are discussed with examples

References

[1] Beyene, T. G., & Alemu, H. T. (2011). Multipliers in almost semilattices. Southeast Asian Bulletin of Mathematics, 35, 1–9.

[2] A. H. Clifford, G. B. Preston, The Algebraic Theory of Semigroups, American Mathematical Society, United States of America, (1964).

[3] Garrett Birkhoff, Lattice Theory, American Mathematical Society, Volume XXV.

[4] Geoferlin Jesho, E. A., & Pramila Inpa Rose, A. (2025). Almost (m, n)-semilattice. International Journal of Applied Mathematics, 38(1s), 1461–1467. https://doi.org/10.12732/ijam.v38i1s.757

[5] George Gratzer, General Lattice Theory, Academic Press, New York, 1978.

[6] Ivan Chajda, Radomir Halas, Jankuhr, Semilattice Structures, Research and Exposition in Mathematics, Vol. 30.

[7] Maddana Swamy.U and Rao.G.C: Almost Distributive Lattice, J.Austral. Math. Soc.(Series 31(1981), 77-91.

[8] G.Nanaji Rao and T.G.Beyene, Almost semilattices, International Journal of Mathematical Archive 7(3) (2016) 52-67.

[9] Beyene, T. G., & Alemu, H. T. (2011). Multipliers in almost semilattices. Southeast Asian Bulletin of Mathematics, 35, 1–9.

[10] M. Velrajan, A. Pramila Inpa Rose, (m, n)-semilattice, International Journal of Pure and Applied Mathematics, Volume 119, No.16, 2018, 5077-5092.

Downloads

Published

2025-12-22

How to Cite

Jesho, E. A. G., & A Pramila Inpa Rose. (2025). Multipliers in Almost (m, m+1)-semilattice. International Journal of Computational and Experimental Science and Engineering, 11(4). https://doi.org/10.22399/ijcesen.4499

Issue

Section

Research Article