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There is a page named "Tensor product of rings" on Wikipedia

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  • mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra. This gives the tensor product of algebras. When the ring is a field...
    6 KB (1,061 words) - 23:33, 3 September 2023
  • commutative quotient of colimits in Ring. The coproduct of two commutative rings is given by the tensor product of rings. Again, the coproduct of two nonzero commutative...
    14 KB (1,814 words) - 01:52, 26 March 2024
  • v\otimes w} is called the tensor product of v and w. An element of V ⊗ W {\displaystyle V\otimes W} is a tensor, and the tensor product of two vectors is sometimes...
    50 KB (8,651 words) - 08:11, 20 June 2024
  • mathematics, a product of rings or direct product of rings is a ring that is formed by the Cartesian product of the underlying sets of several rings (possibly...
    6 KB (826 words) - 21:21, 25 February 2023
  • In mathematics, the tensor product of two fields is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, the...
    11 KB (1,826 words) - 18:00, 3 May 2024
  • used for extension of scalars. For a commutative ring, the tensor product of modules can be iterated to form the tensor algebra of a module, allowing...
    48 KB (8,467 words) - 22:58, 6 April 2024
  • Tensor product of Hilbert spaces, endowed with a special inner product as to remain a Hilbert space Other topological tensor products Tensor product of...
    2 KB (261 words) - 16:01, 22 May 2023
  • the colimit of a span and the pullback is the limit of a cospan, we can think of the tensor product of rings and the fibered product of rings (see the examples...
    13 KB (1,947 words) - 16:17, 14 September 2023
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    tensor, curvature tensor, ...), and others. In applications, it is common to study situations in which a different tensor can occur at each point of an...
    69 KB (9,356 words) - 18:40, 9 June 2024
  • Seven-dimensional cross product Triple product, in vector calculus Tensor product Product topology Cap product Cup product Slant product Smash product Wedge sum (or...
    2 KB (246 words) - 14:09, 18 June 2024
  • product The product of tensors: Wedge product or exterior product Interior product Outer product Tensor product In set theory, a Cartesian product is a mathematical...
    16 KB (2,518 words) - 17:51, 29 May 2024
  • In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. In components...
    13 KB (1,882 words) - 15:56, 12 January 2024
  • In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise group...
    16 KB (2,941 words) - 00:32, 28 June 2024
  • and physics, a tensor field assigns a tensor to each point of a mathematical space (typically a Euclidean space or manifold). Tensor fields are used...
    22 KB (3,515 words) - 16:49, 24 June 2024
  • given a differential graded algebra A over a commutative ring R, the derived tensor product functor is − ⊗ A L − : D ( M A ) × D ( A M ) → D ( R M ) {\displaystyle...
    3 KB (449 words) - 17:32, 29 January 2022
  • {\displaystyle K} . Here the monoidal product is the usual tensor product of vector spaces, and the internal Hom is the vector space of linear maps from one vector...
    7 KB (1,167 words) - 18:33, 17 September 2023
  • category of rings, and should not be written as a direct sum. (The coproduct in the category of commutative rings is the tensor product of rings. In the...
    17 KB (2,822 words) - 14:40, 3 April 2024
  • of scalars. Informally, extension of scalars is "the tensor product of a ring and a module"; more formally, it is a special case of a tensor product of...
    9 KB (1,549 words) - 15:26, 16 February 2024
  • define a free product of two algebras. Let A and B be algebras over a commutative ring R. Consider their tensor algebra, the direct sum of all possible...
    2 KB (321 words) - 02:35, 13 May 2024
  • the category of R-algebras. Tensor products The tensor product of two R-algebras is also an R-algebra in a natural way. See tensor product of algebras for...
    31 KB (4,449 words) - 14:58, 18 May 2024
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