singular submodule

singular submodule
мат. сингулярный подмодуль

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

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  • Singular submodule — In the branches of abstract algebra known as ring theory and module theory, each right (resp. left) R module M has a singular submodule consisting of elements whose annihilators are essential right (resp. left) ideals in R. In set notation it is… …   Wikipedia

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  • Generalized Verma module — Generalized Verma modules are object in the representation theory of Lie algebras, a field in mathematics. They were studied originally by James Lepowsky in seventies. The motivation for their study is that their homomorphisms correspond to… …   Wikipedia

  • Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …   Wikipedia

  • Verma module — Verma modules, named after Daya Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. The definition of a Verma module looks complicated, but Verma modules are very natural objects, with useful properties …   Wikipedia

  • Crystal base — In algebra, a crystal base or canonical base is a base of a representation, such that generators of a quantum group or semisimple Lie algebra have a particularly simple action on it. Crystal bases were introduced by Kashiwara (1990) and… …   Wikipedia


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