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Noetherian Tensor Products

Noetherian tensor products

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1972Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 15, pages 235-238 (issn: 0008-4395, eissn: 1496-4287,

Authors: J. L. Motto; E. A. Magarian;

doi: 10.4153/cmb-1972-043-x

Noetherian Tensor Products

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Abstract

Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no two-sided ideals, and Rosenberg and Zelinsky investigated semi-primary tensor products in [9].All rings considered in this paper are assumed to be commutative with identity. Furthermore, R will always denote a field.

Related Organizations

Florida A&M University - Florida State University College of Engineering
United States
Florida State University
United States
Stetson University
United States

Keywords

Multilinear algebra, tensor calculus, Commutative Noetherian rings and modules

1 Research products, page 1 of 1

Injective dimension of semi-primary rings
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