Topic
Idempotence
About: Idempotence is a research topic. Over the lifetime, 1860 publications have been published within this topic receiving 19976 citations. The topic is also known as: idempotent.
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15 citations
TL;DR: In this article , construction methods of overlap and grouping functions on complete lattices via complete homomorphisms and complete 0L, 1L-endomorphisms are investigated, and properties such as (α,B,C)-migrativity, (B, C)-homogeneity, idempotency and cancellation law for the overlap functions obtained by such generator triples are discussed.
15 citations
TL;DR: In this paper, a brief introduction to idempotent mathematics is presented, which can be treated as a result of a dequantization of the traditional Mathematics as the Planck constant tends to zero taking pure imaginary values.
Abstract: A brief introduction to Idempotent Mathematics is presented. Idempotent Mathematics can be treated as a result of a dequantization of the traditional Mathematics as the Planck constant tends to zero taking pure imaginary values. In the framework of Idempotent Mathematics some basic concepts and results of the theory of group representations (including some unexpected theorems of the Engel type) are discussed.
15 citations
15 citations