Direct and subdirect decompositions of universal algebras with a Boolean orthogonality

DOI10.1007/BF01917513zbMath0482.08001MaRDI QIDQ3939857

William H. Cornish, Patrick N. Stewart

Publication date: 1981

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

prime idealspolarscongruence relationsBoolean orthogonalityorthodirect decompositionorthosubdirect decompositionssubdirect decompositions of universal algebras

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05)

Related Items (2)

Universal algebras ⋮ Boolean orthogonalities and minimal prime ideals

Cites Work

• Semigroups with no non-zero nilpotent elements
• Subdirectly Irreducible Semirings and Semigroups Without Nonzero Nilpotents
• Weakly Regular Algebras, Boolean Orthogonalities and Direct Products of Integral Domains
• Direct Product Decomposition of Alternative Rings
• Boolean orthogonalities and minimal prime ideals
• Rings with orthogonality relations
• Direct Product Decomposition of Commutative Semisimple Rings
• Direct Product of Division Rings and a Paper of Abian
• Alternative Rings Without Nilpotent Elements
• Unique Subdirect Sums of Prime Rings

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