共查询到20条相似文献,搜索用时 15 毫秒
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Attila Nagy 《Semigroup Forum》1992,45(1):183-190
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S. L. Wismath 《Algebra Universalis》1996,36(1):1-7
Iterative hyperidentities are hyperidentities of the special formF
a
(x
1,...,x
k
=F
a+b
(x
1,...,x
k
). This type of hyperidentity has been considered by Denecke and Pöschel, and by Schweigert. Here we consider iterative hyperidentities for the variety An,m of commutative semigroups satisfyingx
n
=x
n+m
,n,m 1. We introduce two parameters(m, n) and(m) associated withn andm, and show thatA
nn,m
satisfies the iterative hyperidentitiesF
(x
1,...,x
k
=F
+b
(x
1,...,x
k
) for every arityk. Moreover, the numbers and are minimal, making these hyperidentities irreducible in the sense of Schweigert. We also show how these hyperidentities for An,m may be used to prove that no non-trivial proper variety of commutative semigroups can have a finite hyperidentity basis.Presented by W. Taylor.Research supported by NSERC of Canada 相似文献
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D. Suryanarayana 《Aequationes Mathematicae》1978,18(1-2):322-329
In this paper, we discuss the pairs (f, h) of arithmetical functions satisfying the functional equation in the title, whereF is the product off andh under the Dirichlet convolution; that is,F(n) = Σ d|n ?(d)h(n/d) andS(m n) = Σd|(m, n) ?(d)h(n/d). The well-known Hölder's identity is a special case of this functional equation (?(n) =n, h(n) = μ(n)). We also generalize the functional equation in the title to any arbitrary regular arithmetical convolution and discuss the pairs of solutions (f, h) of the generalized functional equation and pose some problems relating to the characterization of all pairs of solutions. 相似文献
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K. Navickis 《Lithuanian Mathematical Journal》1988,28(2):162-174
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 28, No. 2, pp. 299–314, April–June, 1988. 相似文献
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Characterizations of ( m,n )-Jordan Derivations and ( m,n )-Jordan Derivable Mappings on Some Algebras 下载免费PDF全文
Let R be a ring, M be a R-bimodule and m, n be two fixed nonnegative integers with m + n = 0. An additive mapping δ from R into M is called an(m, n)-Jordan derivation if(m +n)δ(A~2) = 2 mAδ(A) + 2nδ(A)A for every A in R. In this paper, we prove that every(m, n)-Jordan derivation with m = n from a C*-algebra into its Banach bimodule is zero. An additive mappingδ from R into M is called a(m, n)-Jordan derivable mapping at W in R if(m + n)δ(AB + BA) =2mδ(A)B + 2 mδ(B)A + 2 nAδ(B) + 2 nBδ(A) for each A and B in R with AB = BA = W. We prove that if M is a unital A-bimodule with a left(right) separating set generated algebraically by all idempotents in A, then every(m, n)-Jordan derivable mapping at zero from A into M is identical with zero. We also show that if A and B are two unital algebras, M is a faithful unital(A, B)-bimodule and U = [A M N B] is a generalized matrix algebra, then every(m, n)-Jordan derivable mapping at zero from U into itself is equal to zero. 相似文献
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设L=W或S,F是特征数大于2的域.本文证明了F上的有限维单李超代数L(m,n,t)的自然滤过是不变的.进而得出了L(m,n,t)与L(m′,n′,t′)同构的充要条件是m=m′,n=n′和ti=τ(t′i),i=1,2,…,m,这里τ是{1,2,…,m}的一个置换. 相似文献
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It is shown that every super-simple (m, n) ring is equationally complete. The atomic varieties of (m, 2) rings and the atomic varieties of (2,n) rings are completely determined. 相似文献