Open AccessMinimal prime ideals of skew PBW extensions over 2-primal compatible rings
Author(s) -
Mohamed Louzari,
Armando Reyes
Publication year - 2020
Publication title -
revista colombiana de matemáticas/revista colombiana de matematicas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.176
H-Index - 7
eISSN - 2357-4100
pISSN - 0034-7426
DOI - 10.15446/recolma.v54n1.89788
Subject(s) - noncommutative geometry , polynomial ring , skew , mathematics , prime (order theory) , pure mathematics , noncommutative ring , injective function , commutative ring , type (biology) , commutative property , property (philosophy) , ring (chemistry) , polynomial , discrete mathematics , combinatorics , computer science , mathematical analysis , chemistry , telecommunications , ecology , philosophy , organic chemistry , epistemology , biology
In this paper, we characterize the units of skew PBW extensions over compatible rings. With this aim, we recall the transfer of the property of being 2-primal for these extensions. As a consequence of our treatment, the results established here generalize those corresponding for commutative rings and Ore extensions of injective type. In this way, we present new results for several noncommutative rings of polynomial type not considered before in the literature.