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Algebraic products of tensor products

Semigroup Forum, 2021
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Hindman, Neil, Strauss, Dona
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TENSOR PRODUCT OF MUNN ALGEBRAS

JP Journal of Algebra, Number Theory and Applications, 2023
Summary: We prove that the tensor product of two Munn algebras over the same field is also a Munn algebra. Also, that the tensor product of two Munn algebras is unital if and only if the factors are unital. Further, it is shown that if two Munn algebras are semisimple, then their tensor product is also semisimple.
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Tensor products of group algebras

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.
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Tensor Products of Jordan Algebras

Canadian Journal of Mathematics, 1975
Let J1 and J2 be two Jordan algebras with unit elements. We define various tensor products of J1 and J2. The first, which we call the Kronecker product, is the most obvious and is based on the tensor product of the vector spaces. We find conditions sufficient for its existence and for its non-existence.
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