Classification of Irreducible Z+-Modules of a Z+-Ring Using Matrix Equations
نویسندگان
چکیده
This paper aims to investigate and categorize all inequivalent irreducible Z+-modules of a commutative unit Z+-ring A, equipped with set {1, x, y, xy} satisfying x2=1,y2=1 as Z+-basis by using matrix equations, which was part call for Special Issue about inequalities equations Symmetry. If the rank Z+-module n≤2, we prove that there are finitely many Z+-modules, respectively, one three. However, if n≥3, is no Z+-module.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2022
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym14122598