2012/12/10 by Hans Schoutens, Schoutens, Hans · 1 citation
Mathematics · #13E05 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1212.2171
openalex publication_date 2012/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based upon properties of ordinal length, we introduce a new class of modules, the binary modules, and study their endomorphism ring. The nilpotent endomorphisms form a two-sided ideal, and after factoring this out, we get a commutative ring. In particular, any binary module without embedded primes is isomorphic to an ideal in a reduced ring.