In abstract algebra, a composition series provides a way to break up an algebraic structure, such as a group or a module, into simple pieces. The need...

Jordan–Hölder theorem guarantees that if one composition series has this property, then all composition series will have this property as well. For the Galois...

two subnormal series is the Schreier refinement theorem. Of particular interest are maximal series without repetition. A composition series is a maximal...

case the sequence is called a composition series for M. In order to prove a statement inductively using composition series, the statement is first proved...

Bill Huffman 1974: Best Music Composition – Series: Don B. Ray, "Nightmare in Blue" 1974: Best Music Composition – Series: Bruce Broughton, "The $100,000...

and nominees of the Primetime Emmy Award for Outstanding Music Composition for a Series (Original Dramatic Score). Starting in 2019, the category recognizes...

is the first extant entry in Wassily Kandinsky's parallel series of abstract "Compositions" and "Improvisations" that began to emerge during his Blue...

another example, the all-interval series has been used for computer-aided composition. One way to create compositions is to isolate the aesthetic code...

series is a maximal normal series for a group. It is similar to a composition series, though the two concepts are distinct in general: a chief series...

predates measure theory In group theory, the Jordan–Hölder theorem on composition series is a basic result. Jordan's theorem on finite linear groups Jordan's...