FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 2, PAGES 195-204

Representations of semimodules by sections of sheaves

V. V. Chermnykh

Abstract

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The aim of the paper is to study the conditions on the subsemimodule $A$_S of the semimodule $$G(P) of all global sections of a sheaf $P$ implying $A$_S = G(P). Some applications of the developed construction are shown: namely, the Lambek representations for semimodules over strongly harmonic and reduced Rickart semirings as well as Pierce representations for semimodules over arbitrary semirings were proved to be isomorphic.

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Last modified: May 23, 2007