Embedding of Unimodular Row Vectors
نویسندگان
چکیده
In this paper, we mainly study the embedding problem of unimodular row vectors, focusing on avoiding identification polynomial zeros. We investigate existence minimal syzygy module ZLP matrix and demonstrate that has structural properties are similar to fundamental solution system homogeneous linear equations found in algebra. Finally, provide several methods for vectors certain cases.
منابع مشابه
On Completing Unimodular Polynomial Vectors of Length Three
It is shown that if R is a local ring of dimension three, with ¿ € R , then a polynomial three vector (vQ(X), vx(X), v2(X)) over R[X] can be completed to an invertible matrix if and only if it is unimodular. In particular, if 1/3! € J! , then every stably free projective R[XX, ... , .Y„]-module is free.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11183911