Algebras Over Infinite Fields

DOI10.2307/2033240zbMath0070.03004OpenAlexW4253820838WikidataQ56003322 ScholiaQ56003322MaRDI QIDQ3231237

S. A. Amitsur

Publication date: 1956

Full work available at URL: https://doi.org/10.2307/2033240

zbMATH Keywords

rings, modules, fields

Related Items (42)

Polynomial rings over rings integral over their centres ⋮ Nilpotent polynomials and nilpotent coefficients ⋮ Nilpotent elements of skew Hurwitz series rings ⋮ Annelidan rings ⋮ An alternative perspective on skew generalized power series rings ⋮ Free subalgebras of graded algebras ⋮ Noetherian algebras over algebraically closed fields. ⋮ Rings in Which Certain Subsets Satisfy Polynomial Identities ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Two-sided localization in Noetherian PI-rings ⋮ Prime Jordan algebras ⋮ Jacobson radical of skew polynomial rings and skew group rings ⋮ Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ On regular \({}^*\)-algebras of bounded linear operators: a new approach towards a theory of noncommutative Boolean algebras ⋮ Nil-Armendariz condition on skew generalized power series rings ⋮ On nil algebras and a problem of Passman concerning nilpotent free algebras ⋮ On nilpotent elements of ore extensions ⋮ Zelmanov's prime theorem for quadratic Jordan algebras ⋮ Self-injective von Neumann regular rings and Köthe's conjecture ⋮ Hermitian and algebraic $^*$-algebras, representable extensions of positive functionals ⋮ Nilpotent elements and Armendariz rings. ⋮ Algebras over infinite fields, revisited ⋮ Filtered algebraic algebras ⋮ Group rings ⋮ On matrix wreath products of algebras ⋮ Polynomial rings over nil rings cannot be homomorphically mapped onto rings with nonzero idempotents ⋮ Radicals of semigroup rings of commutative semigroups ⋮ A polynomial ring that is Jacobson radical and not nil. ⋮ Polynomials over division rings ⋮ Transcendental division algebras and simple Noetherian rings ⋮ Radicals and Köthe's conjecture for skew PBW extensions ⋮ Examples in finite Gel'fand-Kirillov dimension ⋮ Matrix wreath products of algebras and embedding theorems ⋮ Strong radical properties of alternative and associative rings ⋮ F-algebraic extensions of rings ⋮ Prime Jordan algebras. II ⋮ Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions. ⋮ Polynomial rings over nil rings need not be nil ⋮ Properly algebraic and spectrum-finite ideals in Jordan systems ⋮ Nilradicals of the unique product monoid rings ⋮ On rings whose nonunits are a unit multiple of a nilpotent ⋮ ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS

Cites Work

• Unnamed Item
• Structure theory for algebraic algebras of bounded degree
• Rings with a polynomial identity
• Topological Representation of Algebras. II
• On the Structure of Algebraic Algebras and Related Rings
• A General Theory of Radicals. III. Applications
• The Radical and Semi-Simplicity for Arbitrary Rings
• On the radical of a general ring
• On three problems concerning nil-rings

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