A Direct Summand of Finite-Free Module over a Local Ring is Again Free.
140938
Finitely generated projective module
88307
Commutative property of ring addition
6646
A (non-artificial) example of a ring without maximal ideals
38571
Localization of a total quotient ring of a reduced ring
47630
Endomorphisms of modules satisfying chain conditions and counterexamples.
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
144122
A problem about an $R$-module that is both injective and projective.
75641
Is there a (f.g., free) module isomorphic to a quotient of itself?
114640
Showing that an ideal is not a free $R-$module.
99198
Principal ideal and free module
73825
Every $R$-module is a quotient of a free module
4790
Generators of a finitely generated free module over a commutative ring
104233
Is the ring of the polynomials on a finite algebraic set always a product of local rings?
92822
Finite number of elements generating the unit ideal of a commutative ring
69398
Rank-nullity theorem for free $\mathbb Z$-modules
123130
Showing an isomorphism between exterior products of a free module
140523
Infinite sum of ideals