Results 1 to 10 of about 80,475 (343)
On the tensor product of 𝑊* algebras [PDF]
Transactions of the American Mathematical Society, 1974 We develop the algebra underlying the reduction theory of von Neumann in the language and spirit of Sakai’s abstract W ∗ {W^ \ast } algebras, and using the maximum spectrum of an abelian von Neumann algebra rather than a measure-theoretic surrogate.
Bruce B. Renshaw
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On the Tensor Product of Composition Algebras
Journal of Algebra, 2001 The authors investigate the tensor product \(C_1\otimes_F C_2\) of two composition algebras \(C_1\) and \(C_2\) over a field \(F\) of characteristic \(\neq 2\). First they consider the Albert forms of these algebras and obtain a necessary and sufficient condition for the similarity of the Albert forms of two algebras each of which is a tensor product ...
Patrick J. Morandi +2 more
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Tensor Product of Evolution Algebras [PDF]
Mediterranean Journal of Mathematics, 2021 The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and only if every factor is an ...
Yolanda Cabrera Casado +3 more
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Tensor products of partial algebras [PDF]
Publicacions Matemàtiques, 1992 In this paper we introduce the tensor product of partial algebras w.r.t. a quasi-primtive class of partial algebras, and we prove some of its main properties.
Monserrat, M. +2 more
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Tensor Products of Group Algebras [PDF]
Transactions of the American Mathematical Society, 1973 Let C be a commutative Banach algebra. A commutative Banach algebra A is a Banach C-algebra if A is a Banach C-module and c (aa') = (c * a)a for all c e C, a, a c A. If A , *... , A are commutative Banach Calgebras, then the C-tensor product A1 C C * CAn--D is defined and is a commutative Banach C-algebra.
J. E. Kerlin
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Tensor products over Banach algebras [PDF]
Transactions of the American Mathematical Society, 1965 0. Introduction. In [4], [5], [6] the structures A1 0 ) A2, where A1 and A2 are Banach algebras, are discussed. Actually, a proper parallel to the algebraic situation is: three commutative Banach algebras A, B, C, where A and B are C-bimodules (in the sense described below), and some Banach-algebraic version of A 03cB.
Bernard R. Gelbaum
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On Iterated Twisted Tensor Products of Algebras [PDF]
International Journal of Mathematics, 2006 We introduce and study the definition, main properties and applications of iterated twisted tensor products of algebras, motivated by the problem of defining a suitable representative for the product of spaces in noncommutative geometry.
Brzeziński T. +9 more
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When is the tensor product of algebras local [PDF]
Proceedings of the American Mathematical Society, 1975 Suppose the tensor product of two commutative algebras over a field is local. It is easily shown that each of the commutative algebras is local and that the tensor product of the residue fields is local. Moreover, one of the algebras must be algebraic over the ground field, i.e. contain no transcendentals.
M. Sweedler
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Tensor products of Banach algebras. II [PDF]
Proceedings of the American Mathematical Society, 1970 0. In [l], [2] there are descriptions of an alleged bijection 31Z3 9TCiX3TC2, where 9K%is the set of regular maximal ideals of the Banach algebra ^4;, * = 1, 2, 3, and where A3 = A1 ®7 ^ is the greatest cross-norm tensor product of Ai and Ai. The given constructions for the bijection are valid if both Ai and A2 are commutative.
Bernard R. Gelbaum
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Tame tensor products of algebras [PDF]
Colloquium Mathematicum, 2003 Summary: With the help of Galois coverings, we describe the tame tensor products \(A\otimes_KB\) of basic, connected, nonsimple, finite-dimensional algebras \(A\) and \(B\) over an algebraically closed field \(K\). In particular, the description of all tame group algebras \(AG\) of finite groups \(G\) over finite-dimensional algebras \(A\) is completed.
Zbigniew Leszczyński +1 more
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