Linearly dependent sets of elements in finitely generated module over an integral domain
128489
Linearly independent elements are less than generators in a module.
157236
Tensor product of modules.
33611
necessary and sufficient condition for trivial kernel of a matrix over a commutative ring
26368
Finitely generated graded modules over $K[x]$
14158
Prove that $R$ is an integral domain $\Leftrightarrow$ $R[x]$ is an integral domain
146664
The union of two linearly independent subsets
67699
Integral domain that is integrally closed, one-dimensional and not noetherian
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
74139
Subrings of integral domains have the same identity element.
22529
The support of a non finitely generated module
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
75899
Principal ideal domain with finitely many ideals
4790
Generators of a finitely generated free module over a commutative ring
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
5802
Proving the universal mapping property for polynomial rings
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
141156
The domain of $\ln(x)^{\ln(x)}$