共查询到20条相似文献,搜索用时 31 毫秒
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V. T. Filippov 《Siberian Mathematical Journal》1999,40(1):174-184
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Tsiu-Kwen Lee 《代数通讯》2013,41(12):5195-5204
Let R be a prime ring which is not commutative, with maximal symmetric ring of quotients Q ms (R), and let τ be an anti-automorphism of R. An additive map δ: R → Q ms (R) is called a Jordan τ-derivation if δ(x 2) = δ(x)x τ + xδ(x) for all x ∈ R. A Jordan τ-derivation of R is called X-inner if it is of the form x → ax τ ? xa for x ∈ R, where a ∈ Q ms (R). It is proved that any Jordan τ-derivation of R is X-inner if either R is not a GPI-ring or R is a PI-ring except when charR = 2 and dim C RC = 4, where C is the extended centroid of R. 相似文献
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The structure of a class of Z-local rings 总被引:1,自引:0,他引:1
WU Tongsuo & LU Dancheng Department of Mathematics Shanghai Jiao Tong University Shanghai China Department of Mathematics Suzhou University Suzhou China 《中国科学A辑(英文版)》2006,49(10)
A local ring R is called Z-local if J(R) = Z(R) and J(R)2 = 0. In this paper the structure of a class of Z-local rings is determined. 相似文献
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Let R be a 2-torsion free semiprime *-ring, σ, τ two epimorphisms of R and f, d : R → R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (σ, τ)*-derivation if and only if d is a Jordan triple (σ, τ)*-derivation. (ii) f is a generalized Jordan (σ, τ)*-derivation if and only if f is a generalized Jordan triple (σ, τ)*-derivation. 相似文献
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Giuseppe Baccella 《代数通讯》2013,41(7):1393-1446
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Jan Janas 《Journal of Difference Equations and Applications》2013,19(6):597-618
This paper presents two methods of finding asymptotic formulae for a basis of solutions of the second order difference equations in the Jordan box case. An application to spectral analysis of Jacobi operators is also sketched. 相似文献
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Usama A. Aburawash 《Acta Mathematica Hungarica》2010,129(4):297-302
For semiprime involution rings, we determine some ∗-minimal ∗-ideals using idempotent elements. Nevertheless, ∗-minimal ∗-biideals are characterized by idempotent elements. Moreover, the involutive version of a theorem due to Steinfeld, which investigates a semiprime involution ring A if A=SocA, is given. Finally, semiprime involution rings having no proper nonzero ∗-biideals are characterized. 相似文献
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S. V. Pchelintsev 《Algebra and Logic》2010,49(3):262-288
We deal with adjoint commutator and Jordan algebras of isotopes of prime strictly (−1, 1)-algebras. It is proved that a system of identities of the form [x
1, x
2, x
2, x
3,…, x
n
] for n = 2,.…, 5 is discernible on isotopes of prime (−1, 1)-algebras. Also it is shown that adjoint Jordan algebras for suitable isotopes
of prime (−1, 1)-algebras may possess distinct sets of identities. In particular, isotopes of a prime Jordan monster have
different sets of identities in general. 相似文献
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In this paper we characterize the (commutative) Priifer rings that can be realized as endomorphism rings of artinian modules over arbitrary associative rings with identity (Theorem 4.7). This characterization is obtained by determining the structure of ∑-pure-injective modules over Prufer rings (Theorems 3.4 and 3.5) 相似文献
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