“Maximal common divisor”的意思、由来-开放百科全书

词条

Maximal common divisor

释义

References

In abstract algebra, particularly ring theory, maximal common divisors are an abstraction of the number theory concept of greatest common divisor (GCD). This definition is slightly more general than GCDs, and may exist in rings in which GCDs do not. Halter-Koch (1998) provides the following definition.^[1]

d ∈ H is a maximal common divisor of a subset, B ⊂ H, if the following criteria are met:

d|b for all b ∈ B
Suppose c ∈ H d|c and c|b for all b ∈ B. Then .

References

1. ^{{cite book|title=Ideal systems|publisher=Marcel Dekker|first=Franz|last=Halter-Koch|year=1998|isbn=0-8247-0186-0}}

1 : Abstract algebra

随便看

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。