n-Derivations and (n,m)-Derivations of Lattices

In this paper, firstly, as a generalization of derivations on a lattice, the notion of n-derivation is introduced and some fundamental properties are investigated. Secondly, the concept of (n,m)-derivation-homomorphism on lattices is described and important and characteristic properties are given.

Bibliographic Details
Main Author:	Yılmaz Çeven
Format:	Article
Language:	English
Published:	MDPI AG 2018-12-01
Series:	Mathematics
Subjects:	derivation n-derivation (n,m)-derivation lattice
Online Access:	https://www.mdpi.com/2227-7390/6/12/307

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spelling	doaj-a06731bf71824bc298dba3ae113d458d2020-11-25T00:14:28ZengMDPI AGMathematics2227-73902018-12-0161230710.3390/math6120307math6120307n-Derivations and (n,m)-Derivations of LatticesYılmaz Çeven0Department of Mathematics, Süleyman Demirel University, 32260 Isparta, TurkeyIn this paper, firstly, as a generalization of derivations on a lattice, the notion of n-derivation is introduced and some fundamental properties are investigated. Secondly, the concept of (n,m)-derivation-homomorphism on lattices is described and important and characteristic properties are given.https://www.mdpi.com/2227-7390/6/12/307derivationn-derivation(n,m)-derivationlattice
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yılmaz Çeven
spellingShingle	Yılmaz Çeven n-Derivations and (n,m)-Derivations of Lattices Mathematics derivation n-derivation (n,m)-derivation lattice
author_facet	Yılmaz Çeven
author_sort	Yılmaz Çeven
title	n-Derivations and (n,m)-Derivations of Lattices
title_short	n-Derivations and (n,m)-Derivations of Lattices
title_full	n-Derivations and (n,m)-Derivations of Lattices
title_fullStr	n-Derivations and (n,m)-Derivations of Lattices
title_full_unstemmed	n-Derivations and (n,m)-Derivations of Lattices
title_sort	n-derivations and (n,m)-derivations of lattices
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2018-12-01
description	In this paper, firstly, as a generalization of derivations on a lattice, the notion of n-derivation is introduced and some fundamental properties are investigated. Secondly, the concept of (n,m)-derivation-homomorphism on lattices is described and important and characteristic properties are given.
topic	derivation n-derivation (n,m)-derivation lattice
url	https://www.mdpi.com/2227-7390/6/12/307
work_keys_str_mv	AT yılmazceven nderivationsandnmderivationsoflattices
_version_	1725390209230569472

n-Derivations and (n,m)-Derivations of Lattices

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