ON f-DERIVATIONS OF LATTICES

被引：40

作者：

Ceven, Yilmaz ^{[1
]}

Oeztuerk, Mehmet Ali ^{[2
]}

机构：

[1] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, TR-32260 Isparta, Turkey

[2] Adiyaman Univ, Fac Arts & Sci, Dept Math, TR-02040 Adiyaman, Turkey

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 04期

关键词：

lattice; derivation; f-derivation;

D O I：

10.4134/BKMS.2008.45.4.701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, as a generalization of derivation on a lattice, the notion of f-derivation for a lattice is introduced and some related properties are investigated.

引用

页码：701 / 707

页数：7

共 15 条

[1]

Balbes R, 1974, DISTRIBUTIVE LATTICE

[2]

Bell AJ., 2003, 4 INT S IND COMP AN, P921

[3]

Bell H. E., 1987, On Derivations in Near-rings, Near-rings and Near Fields, P31

[4] RINGS IN WHICH DERIVATIONS SATISFY CERTAIN ALGEBRAIC CONDITIONS [J].

BELL, HE ;

KAPPE, LC .

ACTA MATHEMATICA HUNGARICA, 1989, 53 (3-4) :339-346

[5]

Birkhoof G., 1940, LATTICE THEORY

[6] Information retrieval through hybrid navigation of lattice representations [J].

Carpineto, C ;

Romano, G .

INTERNATIONAL JOURNAL OF HUMAN-COMPUTER STUDIES, 1996, 45 (05) :553-578

[7] Rough approximations on a complete completely distributive lattice with applications to generalized rough sets [J].

Degang, Chen ;

Wenxiu, Zhang ;

Yeung, Daniel ;

Tsang, E. C. C. .

INFORMATION SCIENCES, 2006, 176 (13) :1829-1848

[8]

Durfee G., 2002, THESIS STANFORD U, P1

[9] Entropy of capacities on lattices and set systems [J].

Honda, Aoi ;

Grabisch, Michel .

INFORMATION SCIENCES, 2006, 176 (23) :3472-3489

[10] On derivations of BCI-algebras [J].

Jun, YB ;

Xin, XL .

INFORMATION SCIENCES, 2004, 159 (3-4) :167-176

← 1 2 →