What does supermodule mean?

Definitions for supermodule
su·per·mod·ule

This dictionary definitions page includes all the possible meanings, example usage and translations of the word supermodule.


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Wiktionary

  1. supermodulenoun

    A particular module over a superring or superalgebra

Wikipedia

  1. 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 commutative superalgebra can be viewed as generalizations of super vector spaces over a (purely even) field K. Supermodules often play a more prominent role in super linear algebra than do super vector spaces. These reason is that it is often necessary or useful to extend the field of scalars to include odd variables. In doing so one moves from fields to commutative superalgebras and from vector spaces to modules. In this article, all superalgebras are assumed be associative and unital unless stated otherwise.

Wikidata

  1. 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 commutative superalgebra can be viewed as generalizations of super vector spaces over a field K. Supermodules often play a more prominent role in super linear algebra than do super vector spaces. These reason is that it is often necessary or useful to extend the field of scalars to include odd variables. In doing so one moves from fields to commutative superalgebras and from vector spaces to modules.

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Numerology

  1. Chaldean Numerology

    The numerical value of supermodule in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of supermodule in Pythagorean Numerology is: 5

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"supermodule." Definitions.net. STANDS4 LLC, 2024. Web. 23 Dec. 2024. <https://www.definitions.net/definition/supermodule>.

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