This article is cited in 1 paper

Representations of semimodules by sections of sheaves

V. V. Chermnykh

Vyatka State University of Humanities

Abstract: The aim of the paper is to study the conditions on the subsemimodule $A_S$ of the semimodule $\Gamma(P)$ of all global sections of a sheaf $P$ implying $A_S=\Gamma(P)$. 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.

UDC: 512.55

 English version: Journal of Mathematical Sciences (New York), 2008, 154:2, 256–262

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