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algebra, given a differential graded algebra A over a commutative ring R, the derived tensor product functor is − ⊗ A L − : D ( M A ) × D ( A M ) → D (...

Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local charts...

In mathematics, and more specifically in ring theory, an ideal of a ring is a special subset of its elements. Ideals generalize certain subsets of the...

to be commutative. There are different definitions used in group theory and ring theory. The commutator of two elements, g and h, of a group G, is the element...

Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This...

The O-ring theory of economic development is a model of economic development put forward by Michael Kremer in 1993, which proposes that tasks of production...

order theory, an ideal is a special subset of a partially ordered set (poset). Although this term historically was derived from the notion of a ring ideal...

the category of spectra in homotopy theory. The homotopy category of spectra and the derived category of a ring are both examples of triangulated categories...

mathematics, the adele ring of a global field (also adelic ring, ring of adeles or ring of adèles) is a central object of class field theory, a branch of algebraic...

used for the left derived functors of a right exact functor. For example, for a ring R, the Tor groups ToriR(M,N) form a "homology theory" in each variable...

this theory, a "satanic cabal of elites" of the New World Order operates international child sex trafficking rings. By June 2020, the conspiracy theory found...

A theory is a systematic and rational form of abstract thinking about a phenomenon, or the conclusions derived from such thinking. It involves contemplative...

formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them (e.g. by gluing along localizations or taking...

Morita theory is that all rings equivalent to R arise as endomorphism rings of progenerators. In the category of R-modules, the endomorphism ring of an...

geometry, a derived stack is, roughly, a stack together with a sheaf of commutative ring spectra. It generalizes a derived scheme. Derived stacks are the...

Equivalently, a noncommutative ring is a ring that is not a commutative ring. Noncommutative algebra is the part of ring theory devoted to study of properties...

transition state is described by the Klopman–Salem equation, derived from perturbational MO theory. The first and second observations correspond to taking...

Semisimple algebra Primitive ring, Semiprimitive ring Prime ring, Semiprime ring, Reduced ring Integral domain, Domain (ring theory) Field of fractions, Integral...

Saturn has the most extensive and complex ring system of any planet in the Solar System. The rings consist of particles in orbit around the planet made...

number theory, commutative algebra, and algebraic geometry. In ring theory, many classes of rings, such as unique factorization domains, regular rings, group...