ISOMORPHISMS OF SEMIRINGS OF CONTINUOUS NONNEGATIVE FUNCTIONS WITH MAX-ADDITION AND ISOMORPHISMS OF LATTICES OF THEIR SUBALGEBRAS

被引：0

作者：

Sidorov, Vadim Veniaminovich ^{[1
]}

机构：

[1] Vyatka State Univ, 36 Moskovskaya Str, Kirov 610000, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷

关键词：

semirings of continuous functions; subalgebra; isomorphism; lattice of subalgebras; Hewitt space; max-addition; CONTINUOUS POSITIVE FUNCTIONS; DETERMINABILITY;

D O I：

10.33048/semi.2020.17.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R-+(boolean OR) be the semifield with zero of nonnegative real numbers with operations of max-addition and multiplication and C-boolean OR (X) be the semiring of continuous R-+(boolean OR)-valued functions on an arbitrary topological space X with pointwise operation max-addition and multiplication. We call a subset A subset of C-boolean OR (X) a subalgebra of the semiring C-boolean OR (X) if f boolean OR g; fg; rf is an element of A for any f; g is an element of A and r is an element of R-+(boolean OR): For arbitrary topological spaces X and Y; we describe isomorphisms of the lattices of subalgebras (subalgebras with unity) of the semirings C-boolean OR (X) and C-boolean OR (Y):

引用

页码：318 / 337

页数：20

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