The ring of polar preserving endomorphisms of an abelian lattice-ordered group
نویسندگان
چکیده
منابع مشابه
On the Congruence Lattice of an Abelian Lattice Ordered Group
In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولFree abelian lattice-ordered groups
Let n be a positive integer and FA`(n) be the free abelian latticeordered group on n generators. We prove that FA`(m) and FA`(n) do not satisfy the same first-order sentences in the language L={+,−, 0,∧,∨} if m 6= n. We also show that Th(FA`(n)) is decidable iff n ∈ {1, 2}. Finally, we apply a similar analysis and get analogous results for the free finitely generated vector lattices. A. M. S. C...
متن کاملA Non-Abelian 2-Group Whose Endomorphisms Generate a Ring, and other Examples of E-Groups
1. Introduction Groups for which the distributively generated near-ring generated by the endomorphisms is in fact a ring are known as U-groups and are discussed in (3). R. Faudree in (1) has given the only published examples of non-abelian JS-groups by presenting defining relations for a family of p-groups. However, as shown in (3), Faudree's group does not have the desired property when p = 2....
متن کاملOn the Subgroup Lattice of an Abelian Finite Group
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice. Let (G, +) be an abelian group. Then the set L(G) of subgroups of G is a modular and complete lattice. Moreover, we suppose that G is finite of order n. If L n is the divisors lattice of n, then the following function is well defined: ord : L(G) −→ L n , ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1971
ISSN: 0019-2082
DOI: 10.1215/ijm/1256052710