Semigroups with no non-zero nilpotent elements

DOI10.1007/BF01110115zbMath0212.35803MaRDI QIDQ2544620

Yanyan Li

Publication date: 1971

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171628

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12)

Related Items (6)

The annihilating-ideal graph of commutative semigroups ⋮ Completely prime ideals and idempotents in mobs ⋮ Representations of algebras by continuous sections ⋮ The source of semiprimeness of semigroups ⋮ Direct and subdirect decompositions of universal algebras with a Boolean orthogonality ⋮ Representation and extension of semiprime rings

Cites Work

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• Baer semigroups
• Generalized semigroup kernels
• The representation of biregular rings by sheaves
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• Baer extensions of rings and Stone extensions of semigroups
• Atomic orthocomplemented lattices
• Modules over commutative regular rings
• A Semigroup Approach to Lattices
• A note on commutative semigroups
• Semigroup Completions of Lattices
• Direct-sum decomposition of atomic and orthogonally complete rings
• Direct Product Decomposition of Commutative Semisimple Rings
• A Characterization of a Class of Rings
• On the greatest semilattice decomposition of a semigroup
• The maximal semilattice decomposition of a semigroup

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