Results 21 to 30 of about 1,178 (260)
Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
, 2012 It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute
Open Mathematics, 2017 An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(
Handam Ali H., Khashan Hani A.
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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On classical quotients of polynomial identity rings with involution [PDF]
, 1973 Let ( R , ∗ ) (R, \ast ) denote a ring R R with involution ( ∗ ) ( \ast ) , where “involution” means “ anti ...
Louis Halle Rowen
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Commutativity theorems for rings with constraints on commutators
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, we generalize some well-known commutativity theorems for associative rings as follows: Let n>1, m, s, and t be fixed non-negative integers such that s≠m−1, or t≠n−1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn,
Hamza A. S. Abujabal
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Algebras with a Diagonable Subspace whose Centralizer Satisfies a Polynomial Identity [PDF]
, 1977 The literature concerning rings with polynomial identity contains several theorems in which the existence of a polynomial identity on a subring implies the existence of such an identity on the ring itself.
E. G. Goodaire
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Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings [PDF]
, 1971 Throughout 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 ...
Jain, S.K
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Polynomial Rings with the Outer Product Property [PDF]
, 1972 In [3] Lissner defined a class of rings called outer product rings, (OP-rings). These are commutative rings R with identity for which every exterior vector is
A. V. Geramita
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Group Rings Satisfying a Polynomial Identity. III [PDF]
Proceedings of the American Mathematical Society, 1971 Let K[G] denote the group ring of G over the field K and let A denote the F.C. subgroup of G. In this paper we show that if K[G] satisfies a polynomial identity of degree n, then [G: Al] < n/2. Moreover this bound is best possible. If K[G] satisfies a polynomial identity of degree n, then it is known that [G: A] < 0o.
openaire +3 more sources