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- W3177520723 abstract "Let $R$ be a principal ideal domain. Given a matrix $Ain M_{m,n}(R)$ of rank $r$ and having nullspace $S$ in $R^n$, we consider the problem of constructing a basis of $S$, which is a free $R$-module of rank~$n-r$. We associate to $A$ a free submodule $M$ of $S$ of rank $n-r$ whose basis is easily computable, we then determine the structure of the quotient module $S/M$, and use this information to build a basis of $S$ from one of $M$." @default.
- W3177520723 created "2021-07-19" @default.
- W3177520723 creator A5061844413 @default.
- W3177520723 date "2021-07-06" @default.
- W3177520723 modified "2023-09-27" @default.
- W3177520723 title "Linear systems of diophantine equations" @default.
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