Abstract
In this article we extend the concept of Euclidean rings and Motzkin's work to commutative rings (not necessarily with an identity).
Keywords
Euclidean geometry
Euclidean distance
Mathematics
Pure mathematics
Identity (music)
Commutative property
Commutative ring
Combinatorics
Algebra over a field
Geometry
Physics
Subject Areas
Mathematics and Applications
·Geometry and Topology ·Physical Sciences
Geometric and Algebraic Topology
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
OpenAlex SDG Match
SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).
Reduced inequalities 46%
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