On the extended centroid of prime associative superalgebras with applications to superderivations

被引：28

作者：

Fosner, M ^{[1
]}

机构：

[1] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

来源：

COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 02期

关键词：

associative superalgebra; extended centroid; superderivation; super-biderivation; functional identities;

D O I：

10.1081/AGB-120027923

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The extended centroid of prime associative superalgebras is studied. As applications we obtain the superalgebra versions of some known theorems on derivations and functional identities in associative prime rings.

引用

页码：689 / 705

页数：17

共 16 条

[1]

AMITSUR SA, 1972, S MATH, V8, P149

[2] Jordan superhomomorphisms [J].

Beidar, KI ;

Bresar, M ;

Chebotar, MA .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (02) :633-644

[3] Functional identities revised: The fractional and the strong degree [J].

Beidar, KI ;

Bresar, M ;

Chebotar, MA .

COMMUNICATIONS IN ALGEBRA, 2002, 30 (02) :935-969

[4]

BEIDAR KI, 1977, VESTN MOSK U MAT M+, V32, P15

[5] CENTRALIZING MAPPINGS AND DERIVATIONS IN PRIME-RINGS [J].

BRESAR, M .

JOURNAL OF ALGEBRA, 1993, 156 (02) :385-394

[6] CENTRALIZING MAPS IN PRIME-RINGS WITH INVOLUTION [J].

BRESAR, M ;

MARTINDALE, WS ;

MIERS, CR .

JOURNAL OF ALGEBRA, 1993, 161 (02) :342-357

[7] ON CERTAIN PAIRS OF FUNCTIONS OF SEMIPRIME RINGS [J].

BRESAR, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :709-713

[8]

Bresar M., 2000, Contemp. Math., V259, P93

[9] Jordan superderivations [J].

Fosner, M .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (09) :4533-4545

[10] On the Lie structure of the skew elements of a prime superalgebra with superinvolution [J].

Gómez-Ambrosi, C ;

Laliena, J ;

Shestakov, IP .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (07) :3277-3291

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