Prime essential rings

DOI10.1017/S0013091500007148zbMath0713.16011OpenAlexW2160465432MaRDI QIDQ3197961

B. J. Gardner, Patrick N. Stewart

Publication date: 1991

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500007148

zbMATH Keywords

prime idealpolynomial ringsmatrix ringsfixed ringsskew group ringstwo-sided idealspecial radical classesprime essential rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35) Extensions of associative rings by ideals (16S70)

Related Items (7)

On prime essential rings ⋮ Unnamed Item ⋮ A note on prime essential rings ⋮ A PRIME ESSENTIAL RING THAT GENERATES A SPECIAL ATOM ⋮ ON BAD SUPERNILPOTENT RADICALS ⋮ On generalised prime essential rings and special and nonspecial radicals ⋮ On coatoms of the lattice of matric-extensible radicals

Cites Work

• Unnamed Item
• Prime ideals in regular self-injective rings. II
• Prime ideals in crossed products of finite groups
• Finite normalizing extensions of rings
• Free algebras as subdirect products
• Lattices of radicals
• Group-Graded Rings, Smash Products, and Group Actions
• Radicals and subdirect decomposition
• The preservation of some ring properties by semilattice sums
• Excellent extensions
• Prime ideals in fixed rings
• Some examples of supernilpotent non-special radicals
• A Subdirect Decomposition of Semiprime Rings and its Application to Maximal Quotient Rings
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients
• Rings with Fixed-Point-Free Group Actions
• Semiprime skew group rings

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