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T-congruence L-relations on groups and rings

✍ Scribed by Li Shenglin; Yu Yandong; Wang Zhudeng


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
836 KB
Volume
92
Category
Article
ISSN
0165-0114

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✦ Synopsis


on groups and rings are defined, and their properties are discussed in detail, where L denotes any given complete Brouwerian lattice and T any given infinitely v-distributive t-norm on L .


πŸ“œ SIMILAR VOLUMES


On T-congruence L-relations on groups an
✍ Zhudeng Wang; Yandong Yu; Fengming Dai πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 148 KB

In this paper, we further study T -congruence L-relations on groups and rings, and give the formulas for calculating the T -congruence L-relations generated by L-relations, where T is an arbitrary inÿnitely ∨-distributive t-norm on a given complete Brouwerian lattice L.

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In this paper, using a general inÿnitely ∨-distributive t-norm T on a complete Brouwerian lattice L, we introduce the concept of T -type regular L-relations, study some basic properties of them, and give out some methods of calculating the maximal T -type generalized inverse L-relations of T -type r

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A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, PrΓΌfer domains and integral group rings.