Families of algebras with unique (sub-)direct factorization: equational characterization of factorization
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Publication:2529091
DOI10.1007/BF01360786zbMath0163.26603MaRDI QIDQ2529091
Publication date: 1966
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/161467
Related Items (15)
A new proof for the product decomposition of Newman algebras ⋮ Para primal algebras ⋮ Algebraic and equational semi-maximality; equational spectra. I ⋮ Automorphisms and functional completeness in universal algebras. I: General automorphisms, structure theory and characterizations ⋮ Semi-primal algebras; characterization and normal-decomposition ⋮ Algebraic function-spectra ⋮ Pre-fields and universal algebraic extensions; equational precessions ⋮ Congruence relations and functional completeness in universal algebras. Structure theory of hemi-primals. I ⋮ Homomorphisms and functional completeness. Hemi-primal algebras. II ⋮ Demi-semi-primal algebras and Mal'cev-type conditions ⋮ Demi-semi-primal algebras and Mal'cev-type conditions ⋮ Algebraic and equational semi-maximality; equational spectra. II ⋮ Total algebras and weak independence. I ⋮ Functional completeness and automorphisms. General infra-primal theory and universal algebra fields of Galois-class. I ⋮ Independent factorizations of abstract algebras
Cites Work
- Functional completeness in the small. Algebraic structure theorems and identities
- Some primal clusters
- On the independence of primal algebras
- Functional completeness in the small. II: Algebraic cluster theorem
- Primal clusters of two-element algebras
- Semi-categorical algebras. I: Semi-primal algebras
- Semi-categorial algebras. II
- Subdirekte Summendarstellungen von Integritätsbereichen
- Generalized ``Boolean theory of universal algebras. I. Subdirect sums and normal representation theorem
- The identities of -- and unique subdirect factorization within -- classes of universal algebras
- Distributivity and Permutability of Congruence Relations in Equational Classes of Algebras
- Subdirect unions in universal algebra
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