Equivalent generating pairs of an ideal of a commutative ring
نویسندگان
چکیده
Let R be a commutative ring with identity and let I two-generated ideal of R. We denote by SL2(R) the group 2×2 matrices over determinant 1. study action matrix right-multiplication on V2(I), set generating pairs I. Fitt1(I) second Fitting Our main result asserts that V2(I)/SL2(R) identifies units R/Fitt1(I) via natural generalization if can generated two regular elements. This is illustrated in several Bass rings for which we also show SLn(R) acts transitively Vn(I) every n>2. As an application, derive formula number cusps modular quadratic order.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.05.014