"theory" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- In the branches of abstract algebra known as ring theory and module theory, each right (resp.
- In module theory, one replaces the field of scalars by a ring.
- The concepts of linear independence, span, basis, and dimension (which is called rank in module theory) still make sense.
- Nevertheless, many theorems from linear algebra become false in module theory.
- It allows the adaptation of many results from matrix theory and module theory.
- His earlier work was mostly in module theory, especially torsion theories, non-commutative localization, and injective modules.
- In mathematics, specifically module theory, annihilators are a concept that generalizes torsion and orthogonal complement.
- Artinian serial rings are sometimes called Nakayama algebras, and they have a well-developed module theory.
- Both constructions are universal and translate representation theory into module theory.
- One of the approaches to representations of finite groups is through module theory.
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