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- W90207361 abstract "This chapter presents a theorem that states that for any strongly nonregular variety K of type τ, there exists a strongly nonregular variety K * of type τ and a finite algebra such that K ⊂ K *, ∈ K *, and ∉ K . From this theorem, it follows that there are no maximal elements in the set of all strongly nonregular varieties of type τ. The chapter also discusses three strongly nonregular varieties K 1 , K 2 , and K 3 of algebras with two binary fundamental operations. They are pairwise distinct and equationally complete. There are no maximal elements in the set of all strongly nonregular varieties of a given type. The set of all strongly nonregular varieties of a given type need not be closed under join." @default.
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- W90207361 date "1986-01-01" @default.
- W90207361 modified "2023-09-25" @default.
- W90207361 title "ON STRONGLY NON-REGULAR AND TRIVIALIZING VARIETIES OF ALGEBRAS" @default.
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- W90207361 doi "https://doi.org/10.1016/b978-0-444-87759-8.50026-2" @default.
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