Generalized ``Boolean theory of universal algebras. I. Subdirect sums and normal representation theorem
From MaRDI portal
Publication:2650959
DOI10.1007/BF01174150zbMath0051.02201OpenAlexW3013105799MaRDI QIDQ2650959
Publication date: 1953
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/169355
Related Items
Homogeneous structures: model theory meets universal algebra. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ A direct definition of distributive extensions of partially ordered algebras ⋮ Generalized equational maximality and primal-in-the-small algebras ⋮ Semi-categorical algebras. I: Semi-primal algebras ⋮ Semi-categorial algebras. II ⋮ Free algebra structure: categorical algebras ⋮ The convolution algebra ⋮ Boolean vector spaces. I ⋮ De Vries powers and proximity Specker algebras ⋮ Unnamed Item ⋮ New perspectives on semi-primal varieties ⋮ Congruence-distributive varieties of algebras ⋮ Unnamed Item ⋮ On semigroups of endomorphisms of generalized Boolean rings ⋮ Unnamed Item ⋮ Struktursätze der Algebra und Kompliziertheit logischer Schemata. III Algebraische Theorien und Verallgemeinerungen ⋮ Bounded Boolean powers and free product of GMV-algebras ⋮ Discriminator varieties and symbolic computation ⋮ Unnamed Item ⋮ Quasi-discriminator varieties ⋮ Unnamed Item ⋮ A generalization of the characterization theorem of Boolean extensions ⋮ Über lokal polynomvollständige universale Algebren ⋮ Boolean powers ⋮ Some applications of double-negation sheafification ⋮ On a problem in the theory of primal algebras ⋮ Actions of Boolean rings on sets ⋮ A characterization of polynomially complete algebras ⋮ A characterization of some Boolean powers ⋮ Algebraic and equational semi-maximality; equational spectra. I ⋮ Some structure theorems for primal and categorical algebras ⋮ Boolean extensions and normal subdirect powers of finite universal algebras ⋮ Automorphisms and functional completeness in universal algebras. I: General automorphisms, structure theory and characterizations ⋮ Semi-primal algebras; characterization and normal-decomposition ⋮ Sulla varieta generata da un'algebra funzionalmente completa di cardinalita infinita ⋮ Families of algebras with unique (sub-)direct factorization: equational characterization of factorization ⋮ Vector spaces over a regular rise ⋮ Structure Theory for Equational Classes Generated by Quasi-Primal Algebras ⋮ Stone duality for primal algebra theory ⋮ Congruence relations and functional completeness in universal algebras. Structure theory of hemi-primals. I ⋮ Functionally complete algebras generating distributive and permutable classes ⋮ On the fundamental subdirect facorization theorems of primal algebra theory ⋮ Simplicity vis-a-vis functional completeness ⋮ Produkte von Kongruenzklassengeometrien universeller Algebren ⋮ The ternary discriminator function in universal algebra ⋮ On the Finiteness of Free (Universal) Algebras ⋮ Eine Charakterisierung funktional vollständiger Algebren ⋮ Total algebras and weak independence. I ⋮ On Boolean extensions of primal algebras ⋮ On the Identities of Certain Algebras ⋮ Ideals and their structure in classes of operational algebras ⋮ Pairwise and general independence of abstract algebras ⋮ The generalized Chinese remainder theorem for universal algebras; subdirect factorization ⋮ An existence theorem for functionally complete universal algebras ⋮ On the imbeddability of universal algebras in relation to their identities. I ⋮ Functional completeness in the small. Algebraic structure theorems and identities ⋮ Some primal clusters ⋮ Maximal primal clusters are infinite ⋮ On the independence of primal algebras ⋮ On countable n-valued Post algebras ⋮ On primal algebras ⋮ WHEN ARE DIVISIBLE ABELIAN GROUPS INJECTIVE? ⋮ Idempotent generated algebras and Boolean powers of commutative rings ⋮ De Vries powers: a generalization of Boolean powers for compact Hausdorff spaces. ⋮ Boolean ultrapowers
Cites Work
- Unnamed Item
- Unnamed Item
- A representation of generalized Boolean rings
- Subdirekte Summendarstellungen von Integritätsbereichen
- Subdirectly irreducible commutative rings
- The idempotent elements of a commutative ring form a Boolean algebra; ring-duality and transformation theory
- The Theory of Representation for Boolean Algebras
- Subdirect sums of rings
- On n-Ality Theories in Rings and their Logical Algebras, Including Tri-Ality Principle in Three Valued Logics
- Subdirect unions in universal algebra
- The Theory of Boolean-Like Rings
- Post algebras and rings