2007/12/26 by Jorge A. Guccione, Guccione, Jorge A., Juan J. Guccione +3 · 1 citation
Chemistry · Mathematics · #16W35 #81R60 #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Associative property #Chemistry #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #FOS: Mathematics #Mathematical analysis #Mathematics #Power series #Pure mathematics #Quantum Algebra (math.QA) #Ring (chemistry) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Series (stratigraphy) #Unitary state #math.QA #math.RA #msc:16W35 #msc:81R60
paper · pdf · doi:10.48550/arxiv.0712.4094
33 pages
arxiv created 2007/12/26 · openalex publication_date 2007/12/26 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/08/05
Let k be a commutative ring. We find and characterize a new family of twisted planes (i. e. associative unitary k-algebra structures on the k-module k[X,Y], having k[X] and and k[Y] as subalgebras).Similar results are obtained for the k-module of two variables power series k[[X,Y]].