2018/04/30 by Peyman Nasehpour · 14 citations
Computer Science · Decision Sciences · Mathematics · #Algebra over a field #Commutative property #Euclidean algorithm #Euclidean geometry #Fuzzy and Soft Set Theory #Ideal (ethics) #Integrally closed #Kleene algebra #Polynomial and algebraic computation #Rings, Modules, and Algebras #Semiring #math.AC #math.RA #msc:13A15 #msc:16Y60
paper · pdf · doi:10.1142/s1793557120500023
published in Asian-European Journal of Mathematics 12(07), 2050002 (World Scientific) · A small typo corrected. 12 pages
openalex created_date 2018/04/13 · openalex publication_date 2018/07/11 · arxiv created 2018/11/19 · arxiv updated 2018/11/21 · openalex updated_date 2026/08/05
In this paper, we give semiring version of some classical results in commutative algebra related to Euclidean rings, PIDs, UFDs, G-domains, and GCD and integrally closed domains.