The Vector Space of Subsets of a Set Based on Symmetric Difference

• Autorzy: Jesse Alama
• Języki publikacji: EN

Abstrakty

EN

For each set X, the power set of X forms a vector space over the field Z2 (the two-element field {0, 1} with addition and multiplication done modulo 2): vector addition is disjoint union, and scalar multiplication is defined by the two equations (1 · x:= x, 0 · x := ∅ for subsets x of X). See [10], Exercise 2.K, for more information.MML identifier: BSPACE, version: 7.8.05 4.89.993

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 1
• Strony: 1-5

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Jesse Alama

• Department of Philosophy, Stanford University, USA

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-008-0001-7