Merited
发表于 2025-3-25 05:45:48
The discriminator subvarietyeducible algebras in . with type . monolith, and that . is the variety generated by .. This chapter is devoted to a proof of the theorem below, which is one of the two principal results in Part I. A good portion of the proof of this theorem has already been given in Chapter 3.
miracle
发表于 2025-3-25 10:23:09
The Abelian subvariety call transfer principles. Using a theorem concerning these principles which will be proved in the next chapter, we give a short proof that . V . is an Abelian variety. The concept which we now introduce, and our reasoning about it, depend heavily on tame congruence theory. (See § 0.6.)
垫子
发表于 2025-3-25 15:03:21
More transfer principles on how these labels may be distributed, depending on the shape of ., but without added assumptions there is much freedom. If .(.) happens to be decidable (structured), then we will show that . must satisfy the (.) and the (.) transfer principles as defined in Chapter 5.
一个姐姐
发表于 2025-3-25 19:10:54
Three interpretations of these lemmas, we will construct an interpretation of the class of all graphs into .(.). These constructions were inspired indirectly by A. P. Zamyatin , through the work of Burris and McKenzie . We will first restate Lemma 8.4 and then proceed to prove it.
Organonitrile
发表于 2025-3-25 21:38:34
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彩色
发表于 2025-3-26 03:40:09
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贵族
发表于 2025-3-26 04:23:57
A property of the centerThroughout this chapter, and indeed throughout Part I, . denotes a fixed, but arbitrary, structured locally finite variety.
破布
发表于 2025-3-26 09:58:56
Centerless algebrasWe continue to work with a fixed locally finite variety . that is structured. This chapter is devoted to a proof of the theorem below.
蚊子
发表于 2025-3-26 15:32:03
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披肩
发表于 2025-3-26 18:57:41
From strongly Abelian to essentially unary varietiesIn this chapter and the next, we characterize the decidable, strongly Abelian, locally finite varieties. In this chapter, we reduce the task to the seemingly more modest one of determining those locally finite varieties of multi-sorted unary algebras that are decidable. In the next chapter, we solve this more modest problem.