abstract algebraic in a sentence
1) This led to modern abstract algebraic notions, such as Euclidean domains.
algebraic collocations
2) They vary in the amount of abstract algebraic notions required to understand the proof.
3) Further abstract algebraic concepts such as modules, vector spaces and algebras also form groups.
abstract algebraic example sentences
4) In his "Foundations of algebraic Geometry", Weil defined an abstract algebraic variety using valuations.5) The classes become an abstract algebraic group with the introduction of addition, defined via an "equator pinch".
6) The subject was set upon firm foundations around 1930 by Emmy Noether and van der Waerden using an abstract algebraic approach.
7) In applications to linear algebra, the exterior product provides an abstract algebraic manner for describing the determinant and the minors of a matrix.
8) At the same time, Salii (1965) defined a more general kind of structures called "L"-relations, which were studied by him in an abstract algebraic context.
9) modules over these abstract algebraic structures.
10) expressiveness, i.e. the capability of specifying abstract algebraic concept like rings or fields.
11) For greater efficiency and ease this is converted to the abstract algebraic equivalent, where:
12) Existence of non-quasiprojective abstract algebraic varieties
13) Abstract algebraic aspects and generalizations
14) Abstract algebraic aspects
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