Partially ordered linear algebras with multiplicative diagonal map

Dai, Taen Yu; DeMarr, Ralph

doi:10.1090/S0002-9947-1976-0419330-3

Partially ordered linear algebras with multiplicative diagonal map
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by Taen Yu Dai and Ralph DeMarr PDF

Trans. Amer. Math. Soc. 224 (1976), 179-187 Request permission

Abstract:

The diagonal of the product of two triangular matrices is the product of the diagonals of each matrix. This idea is used to characterize partially ordered linear algebras which have order properties similar to an algebra of real triangular matrices.

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