Commutative Semigroups Which Are Semigroup Amalgamation Bases
نویسندگان
چکیده
منابع مشابه
Bases for commutative semigroups and groups
A base for a commutative semigroup (S,+) is an indexed set 〈xt〉t∈A in S such that each element x ∈ S is uniquely representable as ∑t∈F xt where F is a finite subset of A and, if S has an identity 0, then 0 = ∑n∈ xt . We investigate those commutative semigroups or groups which have a base. We obtain the surprising result that Q has a base. More generally, we show that an abelian group has a base...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8614