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Generalized symmetric bi-derivations of lattices

and

1Department of Applied Mathematics With Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India

* Corresponding Author: C. Jana. Email:

Annals of Communications in Mathematics 2018, 1 (1), 74-84. https://doi.org/10.62072/acm.2018.010107

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Abstract

In this article, the notion of a new kind of derivation is introduced for a lattice L called symmetric bi-(T, F)-derivations on L as a generalization of derivation of lattices and characterized some of its related properties. Some equivalent conditions provided for a lattice L with greatest element 1 by the notion of isotone symmetric bi- (T, F)-derivation on L. By using the concept of isotone derivation, we characterized the modular and distributive lattices by the notion of isotone symmetric bi-(T, F)-derivation

Keywords

Derivation of lattice; Lattice; Symmetric bi-(T F)-derivation of lattice

Cite This Article

C. Jana, M. Pal.

Generalized symmetric bi-derivations of lattices.

Annals of Communications in Mathematics

2018,

1 (1):

74-84.

https://doi.org/10.62072/acm.2018.010107

Copyright © 2018 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).