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Titlebook: Near-Rings and Near-Fields; Proceedings of the C Yuen Fong,Carl Maxson,Leon Wyk Conference proceedings 2001 Springer Science+Business Media

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楼主: 伤害
发表于 2025-3-26 23:30:53 | 显示全部楼层
On Semi-Endomorphisms of Abelian Groupserated abelian groups. Specifically, characterizations of groups . are given when the semi-endomorphism nearring of . is the endomorphism rings of ., and when the semi-endomorphism nearring is the full transformation nearring .(.); and an explicit description of the semi-endomorphisms of finitely ge
发表于 2025-3-27 01:29:49 | 显示全部楼层
The Almost Nilpotent Radical for Near Rings for near-rings has been treated in several non-equivalent, but related ways in the recent literature. We use the version due to K. Kaarli as basis to define the concept of a weakly special radical in near-rings. We show that the almost nilpotent radical is weakly special on the class . of all near-
发表于 2025-3-27 08:50:49 | 显示全部楼层
-Primitive ideals in Matrix Near-Ringsis an intersection of .-primitive ideals of .. If . satisfies the descending chain condition for left ideals, then . is .-primitive. Examples of finite near-rings . exist such that s-primitive ideals of ..(.) are not necessarily of the form .* for .-primitive in ..
发表于 2025-3-27 13:14:19 | 显示全部楼层
Essential ideals and ,-Subgroups in Near-Rings and the additive-group commutator . + . − . − ., while the symbol (.) will denote the distributor .(. + .)−.−., for all . ∈ .. Finally, if . be an .-module and . are non-empty subsets of ., we will define (. = . ∈ . : . ∈ . for all . ∊ ..
发表于 2025-3-27 14:47:28 | 显示全部楼层
发表于 2025-3-27 21:50:03 | 显示全部楼层
The Number of Isomorphism Classes of D. G. Near-Rings on the Generalized Quaternion Groups on .. and that all of these are in fact distributive. However, as Clay pointed out ([Cla74]), “nothing is said concerning the isomorphism of these 16.”.We show in this note that there are exactly 10 non-isomorphic d.g. near-rings on .. for . ≥ 4 and 6 if . = 3.
发表于 2025-3-28 00:12:26 | 显示全部楼层
When is a centralizer near-ring isomorphic to a matrix near-ring? Part 2ubnear-ring of the centralizer near-ring ..(..). We find conditions such that .(..(.);.) is a proper subset of ..(..). Assuming both . and . are abelian we find conditions under which .(..(.);.) equals ..(..).
发表于 2025-3-28 02:35:43 | 显示全部楼层
Topology and Primary ,-Groups arises and an adaptation of this is used throughout the paper. Topological features are studied and these are related to algebraic properties of the nearring. Many surprising results are obtained. The last part of the paper is concerned with showing, that with connectedness, direct decomposition im
发表于 2025-3-28 10:05:32 | 显示全部楼层
发表于 2025-3-28 11:21:08 | 显示全部楼层
On Semi-Endomorphisms of Abelian Groupserated abelian groups. Specifically, characterizations of groups . are given when the semi-endomorphism nearring of . is the endomorphism rings of ., and when the semi-endomorphism nearring is the full transformation nearring .(.); and an explicit description of the semi-endomorphisms of finitely generated abelian groups is given.
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