Definition of Cotorsion. Meaning of Cotorsion. Synonyms of Cotorsion

- In abelian group theory, an abelian group is said to be cotorsion if every extension of it by a torsion-free group splits. If the group is M {\displaystyle...
- torsion-free group is cotorsion if and only if it is algebraically compact. Every injective group is algebraically compact. Ulm factors of cotorsion groups are algebraically...
- groups, i.e. arbitrary direct sums of Z {\displaystyle \mathbb {Z} } Cotorsion and algebraically compact torsion-free groups such as the p {\displaystyle...
- Saharon; Kolman, Oren (2000). "Infinitary axiomatizability of slender and cotorsion-free groups". Bulletin of the Belgian Mathematical Society. 7: 623–629...
- is identical to Galois cohomology, so the conjecture equates the ℓth cotorsion (the quotient by the subgroup of ℓ-divisible elements) of the Milnor K-group...
- {\displaystyle \Box _{S_{\ast }(B)}} is the cotensor product and Cotor (cotorsion) is the derived functor for the cotensor product. To calculate H ∗ ( C...