Commutativity of Archimedean Semi-Ordered Groups (Japanese)
نویسندگان
چکیده
منابع مشابه
Archimedean - like Classes of Lattice - Ordered Groups
Suppose <? denotes a class of totally ordered groups closed under taking subgroups and quotients by o-homomorphisms. We study the following classes: (1) Res (£?), the class of all lattice-ordered groups which are subdirect products of groups in C; (2) Hyp(C), the class of lattice-ordered groups in Res(C) having all their ¿-homomorphic images in Res(<?); Para(C), the class of lattice-ordered gro...
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Let 5 be a commutative semigroup. For a, b £5, we say that a divides b (or b is a multiple of a), and write a\b, if either a = b or ax = b for some x£5. We say that a properly divides b if a\b and b does not divide a. We call 5 archimedean if for all a, b £5, a divides some power of b. It is known that every commutative semigroup is uniquely expressible as a semilattice of archimedean semigroup...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1943
ISSN: 0018-2079
DOI: 10.32917/hmj/1559145791