# Showing papers in "Journal of Algebra in 1993"

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370 citations

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352 citations

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TL;DR: In this paper, it was shown that if A is a regular Noetherian ring with maximal ideals N 1,..., Ns, such that each A/Ni is finite, then for R = A/Nn11 ··· Nnss, χ(R) = cl(R).

331 citations

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TL;DR: In this paper, the authors examined a variety of algebraic contexts in which the quantum Yang-Baxter equation arises, and derived methods for generating new solutions from given ones, encoded in objects which have a module and a comodule structure over a bialgebra.

249 citations

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160 citations

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117 citations

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TL;DR: In this paper, the structure of the coordinate ring of a Kleinian singularity is studied with reference to the structures of the associated singularity and the primitive factor rings of U( s l (2, C )).

98 citations

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TL;DR: In this article, the authors consider a prime ring with involution, and show that unless R is an order in a 16-dimensional central simple algebra, there exists an additive map μ: K → C such that ƒ( x ) = λ x + μ(x ) for all x ∈ K.

92 citations

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88 citations

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TL;DR: In this paper, the minimal resolution conjecture for a sufficiently generic set of points in P n was formulated, and the conjectured values of the Betti numbers were explicitly written out.

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TL;DR: In this article, the authors studied the character ∑χ λ ⊗χ ρ where λ runs through the partitions with no more then k parts.

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TL;DR: In this paper, a classification of indecomposable Harish-Chandra sl2(C)-modules is given, and a conjecture of Kac on irreducible module over the Virasoro algebra is proved true under a certain condition.

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TL;DR: In this paper, it was shown that the largest ideal containing I whose Hilbert polynomial agrees with that of I in the highest k terms, is also contracted from a blowup B (I), which is obtained from B(I) by a process similar to "S2-ification".

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TL;DR: In this article, the authors studied algebraic structures defined by a presentation of the form 〈 A; ab = ba for (a, b) ∈ I 〉 and showed that these relators are the only one that can be interpreted as both monoid and Lie relators.

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TL;DR: In this article, a p-block of a finite group G with an abelian defect group P and e a root of b in CG(P) is a Klein four group, and there is a so called perfect isometry from the group of generalized characters of a suitable twisted group algebra of the semidirect product of E and P onto the group G in b.

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TL;DR: In this paper, it was shown that the derived length of a finite p-group admitting an automorphism of order p k with p m fixed points is bounded in terms of p, m, k.

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TL;DR: In this article, it was shown that every finite dimensional simple module is a quotient of a line module and that any other simple module can be obtained by twisting one of these by an automorphism of A. The method of proof relies on results in Levasseur and Smith.

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TL;DR: In this paper, the Lie structure of restricted universal enveloping algebras is examined over fields of characteristic p > 0, and it is determined precisely when u (L) is soluble (for p > 2), nilpotent, or satisfies the Engel condition.