ungraded algebra

ungraded algebra
мат. неградуированная алгебра

Большой англо-русский и русско-английский словарь. 2001.

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  • Superalgebra — In mathematics and theoretical physics, a superalgebra is a Z2 graded algebra. That is, it is an algebra over a commutative ring or field with a decomposition into even and odd pieces and a multiplication operator that respects the grading.The… …   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

  • Clifford bundle — In mathematics, a Clifford bundle is an algebra bundle whose fibers have the structure of a Clifford algebra and whose local trivializations respect the algebra structure. There is a natural Clifford bundle associated to any (pseudo) Riemannian… …   Wikipedia

  • Nakayama lemma — In mathematics, more specifically modern algebra and commutative algebra, Nakayama s lemma also known as the Krull–Azumaya theorem[1] governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely… …   Wikipedia

  • Spectral sequence — In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a… …   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

  • Monomial order — In mathematics, a monomial order is a total order on the set of all (monic) monomials in a given polynomial ring, satisfying the following two properties: If u < v and w is any other monomial, then uw<vw. In other words, the ordering… …   Wikipedia

  • Tenth grade — (called Grade 10 or Senior 2 in some regions, also known as sophomore year in the U.S.) is a year of education in the United States and many other nations. United States Canada The tenth grade is the tenth school year after kindergarten and is… …   Wikipedia


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