Results 11 to 20 of about 2,473 (265)
Jacobson - rings and hilbert algebras with polynomial identities [PDF]
Annali di Matematica Pura ed Applicata, 1966 We consider n-tuples of m × m matrices as zeroes of non-commutative polynomials in n-variables and establish an analogue of the classical Hilbert-Nullstellensatz. We study then finitely generated non-commutative algebras over Jacobson rings and obtain results conpletely analogous with the commutative tehory.
S. A. Amitsur, Claudio Procesi
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Rings with Involution and Polynomial Identities [PDF]
Canadian Journal of Mathematics, 1968 An involution * of a ring A is a one-one additive mapping of A onto itself such that (xy)* = y*x* and x** = x for all x, y ∊ A. If A is an algebra over a field Φ, one makes the additional requirement that (λx)* = λx* for all λ ∊ Φ, x ∊ A. S will generally denote the set of symmetric elements s* = s, K the set of skew elements , and Z the centre of A.
Willard E. Baxter, Wallace S. Martindale
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Structure of Rings with Involution Applied to Generalized Polynomial Identities [PDF]
Canadian Journal of Mathematics, 1975 In [14, §4], some theorems were obtained about generalized polynomial identities in rings with involution, but the statements had to be weakened somewhat because a structure theory of rings with involution had not yet been developed sufficiently to permit proofs to utilize enough properties of rings with involution.
Louis Rowen
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Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings
Journal of Algebra, 1971 AbstractThroughout R is a prime ring and is regarded as an algebra over its centroid. Let RΔ(ΔR) denote the right (left) singular ideal of R. R is called Johnson ring if it satisfies any of the two equivalent conditions: (a) RΔ = 0 = ΔR and R possesses uniform right and left ideals, (b) the right (left) quotient ring of R (in the sense of Utumi) is ...
S. Jain
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Polynomial identity rings as rings of functions, II [PDF]
, 2012 Nikolaus Vonessen
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A glueing process for rings with polynomial identity
Indagationes Mathematicae (Proceedings), 1981 A. Verschoren
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Equalizing ideal for integer-valued polynomials over the upper triangular matrix ring [PDF]
ریاضی و جامعه, 2023 Let $D$ be an integral domain and $I$ be an ideal of the upper trangular matrix ring $T_{n}(D)$. In this paper, we study the equalizing ideal$$q_{I}=\{A\in T_n(D)|f(A)-f(0)\in I,\forall f\in {\operatorname{Int}}(T_n(D))\}.$$of the integer-valued ...
Ali Reza Naghipour
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Group rings satisfying a polynomial identity. III [PDF]
, 1972 D. S. Passman
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