p-BASIS OF A REGULAR SEMI-LOCAL RING

Tetsuzo Kimura; Hiroshi Niitsuma

doi:10.55937/sut/1262208387

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Home > Journals > SUT J. Math. > Volume 31 > Issue 1 > Article

June 1995

p

-BASIS OF A REGULAR SEMI-LOCAL RING

Tetsuzo Kimura, Hiroshi Niitsuma

Author Affiliations +

Tetsuzo Kimura,¹ Hiroshi Niitsuma²
¹Faculty of Engineering, Science University of Tokyo 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162, Japan
²Faculty of Science, Science University of Tokyo 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162, Japan

SUT J. Math. 31(1): 81-83 (June 1995). DOI: 10.55937/sut/1262208387

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Abstract

For a Frobenius-Sandwich of regular semi-local rings $R \subset R' \subset {R^p},$ $R/R'$ has a $p$ -basis if and only if $R$ has constant rank as $R^{'}$ -module.

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Tetsuzo Kimura. Hiroshi Niitsuma. " $p$ -BASIS OF A REGULAR SEMI-LOCAL RING." SUT J. Math. 31 (1) 81 - 83, June 1995. https://doi.org/10.55937/sut/1262208387