Derivations in a Product of Additively Idempotent Semirings

被引：0
|
作者：
Trendafilov, Ivan [1 ]
Tzvetkov, Radoslav [1 ]
机构：
[1] Tech Univ Sofia, Dept Appl Math & Informat, Sofia 1000, Bulgaria
来源：
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20) | 2021年 / 2333卷
关键词：
D O I：
10.1063/5.0042512
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we introduce the notion of derivation in product (direct product) of additively idempotent semirings. These semirings are useful and important tools in diverse areas such as design of switching circuits, automata theory, information systems, dynamic programming and decision theory. We study hereditary derivations, inner derivations and obtain a representation of an arbitrary derivations which are zero on the multipliers.
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页数：6
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