supercommutative
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Supercommutative algebra — In mathematics, a supercommutative algebra is a superalgebra (i.e. a Z2 graded algebra) such that for any two homogeneous elements x, y we have Equivalently, it is a superalgebra where the supercommutator always vanishes. Algebraic structures… … Wikipedia
Koszul-Tate resolution — In mathematics, a Koszul Tate resolution or Koszul Tate complex is a projective resolution of R / M that is an R algebra (where R is a commutative ring and M is an ideal). They were introduced by John Tate and have been used to calculate BRST… … Wikipedia
Poisson superalgebra — In mathematics, a Poisson superalgebra is a Z2 graded generalization of a Poisson algebra. Specifically, a Poisson superalgebra is an (associative) superalgebra A with a Lie superbracket: [cdot,cdot] : Aotimes A o Asuch that ( A , [ middot;,… … Wikipedia
Supermatrix — In mathematics and theoretical physics, a supermatrix is a Z2 graded analog of an ordinary matrix. Specifically, a supermatrix is a 2 times;2 block matrix with entries in a superalgebra (or superring). The most important examples are those with… … Wikipedia
Super vector space — In mathematics, a super vector space is another name for a Z2 graded vector space, that is, a vector space over a field K with a given decomposition:V=V 0oplus V 1.The study of super vector spaces and their generalizations is sometimes called… … Wikipedia
Schouten-Nijenhuis bracket — In differential geometry, the Schouten Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Supermodule — In mathematics, a supermodule is a Z2 graded module over a superring or superalgebra. Supermodules arise in super linear algebra which is a mathematical framework for studying the concept supersymmetry in theoretical physics.Supermodules over a… … Wikipedia
Schouten–Nijenhuis bracket — In differential geometry, the Schouten–Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Graded algebra — In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field (or commutative ring) with an extra piece of structure, known as a gradation (or grading ). Graded rings A graded ring A is a ring that has a direct sum… … Wikipedia
Supergroup (physics) — The concept of supergroup is a generalization of that of group. In other words, every group is a supergroup but not every supergroup is a group.First, let us define a Hopf superalgebra. A Hopf algebra can be defined category theoretically as an… … Wikipedia
