Skew idempotent functionals of ordered semirings
Sergey V. Ludkovsky
TL;DR
This paper explores skew idempotent functionals within various ordered semirings, establishing their properties through theorems and providing illustrative examples across both associative and non-associative cases.
Contribution
It introduces new theoretical results on the properties of skew idempotent functionals in ordered semirings, including both associative and non-associative types.
Findings
Proved theorems on properties of skew idempotent functionals
Analyzed behavior in both associative and non-associative semirings
Provided examples illustrating theoretical concepts
Abstract
Skew idempotent functionals of ordered semirings are studied. Different associative and non-associative semirings are considered. Theorems about properties of skew idempotent functionals are proved. Examples are given.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Optimization and Variational Analysis · Functional Equations Stability Results