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portada Partially-Ordered Group
Type
Physical Book
Publisher
Language
English
Format
Paperback
Dimensions
22 x 0 cm
ISBN13
9786131260216

Partially-Ordered Group

New Book Imported to Taiwan
Delivery: 16 Oct - 26 Oct Shipping: 13 to 14 business days.
NT$ 4,847
NT$ 4,847

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Synopsis "Partially-Ordered Group"

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In abstract algebra, a partially-ordered group is a group (G,+) equipped with a partial order " " that is translation-invariant; in other words, " " has the property that, for all a, b, and g in G, if a b then a+g b+g and g+a g+b. An element x of G is called positive element if 0 x. The set of elements 0 x is often denoted with G+, and it is called the positive cone of G. So we have a b if and only if -a+b G+. By the definition, we can reduce the partial order to a monadic property: a b if and only if 0 -a+b. For the general group G, the existence of a positive cone specifies an order on G.

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