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Tensor product of algebras over a field

In: Commutative Algebra

Author

Listed:
  • Hassan Haghighi

    (K. N. Toosi University of Technology, Department of Mathematics)

  • Massoud Tousi

    (Shahid Beheshti University G.C., Department of Mathematics
    Institute for Research in Fundamental Sciences (IPM), School of Mathematics)

  • Siamak Yassemi

    (Institute for Research in Fundamental Sciences (IPM), School of Mathematics
    University of Tehran, Department of Mathematics)

Abstract

This review paper deals with tensor products of algebras over a field. Let k be a field and A, B be commutative k-algebras. We consider the following question: “Which properties of A and B are conveyed to the k-algebra A⊗ k B?”. This field is still developing and many contexts are yet to be explored. We will restrict the scope of the present survey, mainly, to special rings.

Suggested Citation

  • Hassan Haghighi & Massoud Tousi & Siamak Yassemi, 2011. "Tensor product of algebras over a field," Springer Books, in: Marco Fontana & Salah-Eddine Kabbaj & Bruce Olberding & Irena Swanson (ed.), Commutative Algebra, pages 181-202, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-6990-3_7
    DOI: 10.1007/978-1-4419-6990-3_7
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