Abstract algebra - Wikipedia

Abstract algebra - Wikipedia: "Groups
Examples involving several operations include:

Rings"



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Module (mathematics) - Wikipedia

Module (mathematics) - Wikipedia: "A module over a ring is a generalization of the notion of vector space over a field, "



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Algebra over a field - Wikipedia

Algebra over a field - Wikipedia: "and scalar multiplication by elements of the underlying field"



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One-dimensional space - Wikipedia

One-dimensional space - Wikipedia: "A field k is a one-dimensional vector space over itself."

#Thus a field is not a torsor, and can underpin some structure as in the next entry.

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Metaglossary.com - Definitions for "affine space"

Metaglossary.com - Definitions for "affine space": "a torsor for a vector space
math.ucr.edu"



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Key to frequency | Oxford English Dictionary

Key to frequency | Oxford English Dictionary: "The following table shows the frequency range for each band, and the percentage of non-obsolete OED entries assigned to each band:

"



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torsors

torsors: "velocities don't live in just any old group - they live in a special sort of group called a "vector space". "



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torsors

torsors: "So, now you are treating the plane as a torsor!"



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Purdue OWL: Count and Noncount Nouns

Purdue OWL: Count and Noncount Nouns: "Uncountable Sense Countable Sense"



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Space (mathematics) - Wikipedia

Space (mathematics) - Wikipedia: "The modern approach defines the three-dimensional Euclidean space more algebraically, via vector spaces and quadratic forms, namely, as an affine space whose difference space is a three-dimensional inner product space."



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Help - Cambridge Dictionary

Help - Cambridge Dictionary: "Uncountable or singular noun: a noun that has no plural."



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