Supernilpotent Semirings
Neboj\v{s}a Mudrinski, Milica \v{S}obot
TL;DR
This paper establishes that supernilpotent and nilpotent semirings with absorbing zero are equivalent and provides a precise condition characterizing supernilpotency.
Contribution
It proves the equivalence of supernilpotency and nilpotency in semirings with absorbing zero and offers a necessary and sufficient condition for these properties.
Findings
Supernilpotent and nilpotent semirings with absorbing zero are the same.
A necessary and sufficient condition for supernilpotency is provided.
Theoretical characterization of supernilpotent semirings.
Abstract
We prove that supernilpotent and nilpotent semirings with absorbing zero are the same and provide a necessary and sufficient condition for supernilpotency (nilpotency).
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Taxonomy
TopicsEducational Technology and Assessment · Fuzzy and Soft Set Theory · Scheduling and Timetabling Solutions