module without torsion
1Torsion (algebra) — In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Definition Let G be a group. An element g of G is called a torsion element if g has… …
2Finitely generated module — In mathematics, a finitely generated module is a module that has a finite generating set. Equivalently, it is a homomorphic image of a free module on finitely many generators. The kernel of this homomorphism need not be finitely generated (then… …
3Étale cohomology — In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil… …
4Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… …
5Prüfer domain — In mathematics, a Prüfer domain is a type of commutative ring that generalizes Dedekind domains in a non Noetherian context. These rings possess the nice ideal and module theoretic properties of Dedekind domains, but usually only for finitely… …
6Physical Sciences — ▪ 2009 Introduction Scientists discovered a new family of superconducting materials and obtained unique images of individual hydrogen atoms and of a multiple exoplanet system. Europe completed the Large Hadron Collider, and China and India took… …
7Poincaré–Birkhoff–Witt theorem — In the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (Poincaré (1900), G. D. Birkhoff (1937), Witt (1937); frequently contracted to PBW theorem) is a result giving an explicit description of the universal enveloping algebra of a Lie… …
8BMP-1 variants — This is a complete list of variants and designations of the BMP 1 infantry fighting vehicle. It is sorted by country of origin. Variants Former USSRInfantry fighting vehicles* BMP (Ob yekt 764) Original main prototype of BMP 1 developed by the… …
9Lunar Roving Vehicle — This article is about the Apollo rovers. For the Soviet robotic rovers, see Lunokhod program. For the planned Chinese robotic rover, see Chang e 3. The Lunar Roving Vehicle (LRV) or lunar rover was a battery powered four wheeled rover used on the …
10Poincaré duality — In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds. It states that if M is an n dimensional compact oriented manifold, then the k th… …
