Derivations in differentially prime rings

被引：4

作者：

Al Khalaf, Ahmad ^{[1
]}

Artemovych, Orest D. ^{[2
]}

Taha, Iman ^{[3
]}

机构：

[1] Ibn Saud Islamic Univ, Coll Sci Al Imam Mohammad, Dept Math, POB 90950, Riyadh, Saudi Arabia

[2] Cracow Univ Technol, Inst Math, Ul Warszawska 24, PL-31155 Krakow, Poland

[3] Elect Univ, 4508 Prince Sand Bin Mohammed Bin Muqrin Rd, Riyadh 13316, Saudi Arabia

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 07期

关键词：

Derivation; prime ring; Lie ring; LIE-RINGS; COMMUTATIVE RINGS; IDEALS;

D O I：

10.1142/S0219498818501293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Earlier properties of Lie rings DerR of derivations in commutative differentially prime rings R was investigated by many authors. We study Lie rings DerR in the non-commutative case and shown that if R is a D-prime ring of characteristic not equal 2, then D is a prime Lie ring or R is a commutative ring.

引用

页数：12

共 20 条

[1] Artemovych OD., 1998, PERIOD MATH HUNG, V36, P1, DOI DOI 10.1023/A:1004648818462
[2] Artemovych OD, 2015, ALGEBRA DISCRET MATH, V20, P13
[3] LIE IDEALS AND DERIVATIONS OF PRIME-RINGS
BERGEN, J
HERSTEIN, IN
KERR, JW
[J]. JOURNAL OF ALGEBRA, 1981, 71 (01) : 259 - 267
[4] Bresar M., 2007, FUNCTIONAL IDENTITIE
[5] Carini L, 1985, REND CIRC MAT PALERM, V34
[6] Prime Lie rings of derivations of commutative rings
Chebotar, Mikhail A.
Lee, Pjek-Hwee
[J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (12) : 4339 - 4344
[7] GOLDIE THEOREM FOR DIFFERENTIABLY PRIME RINGS
FISHER, JR
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1975, 58 (01) : 71 - 77
[8] Herstein I.N., 1979, Canad. Math. Bull., V22, P509, DOI 10.4153/CMB-1979-066-2
[9] Herstein I. N., 1994, CARUS MATH MONOGRAPH, V15
[10] ON THE LIE AND JORDAN RINGS OF A SIMPLE ASSOCIATIVE RING
HERSTEIN, IN
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1955, 77 (02) : 279 - 285

← 1 2 →