Showing papers in "Journal of Algebra in 1983"

TL;DR: In this paper, Evens and Evens showed that the structure and cohomology of a KG-module can be found by looking at the restrictions to cyclic p-subgroups of the group of units of KG.

TL;DR: In this paper, the authors generalize Grothendieck's universal properties of vector bundles and projective bundles to the relative case of a flat projective morphism f: X + Y of noetherian schemes.

TL;DR: In this paper, it was shown that certain Rees algebras are Cohen-Macaulay, and under strong hypotheses, the question: if R = S/N is a factor-ring of S and I = JR, when is.$(I, R) a specialization of J. S. where t is an indeterminate.

TL;DR: In this paper, the primitive spectrum of the enveloping algebra (as a set) and Fourier inversion of unipotent orbital integrals were studied for complex classical groups.

TL;DR: In this paper, it was shown that the existence of big Cohen-Macaulay (henceforth, C-M) modules (e.g., the new intersection conjecture of Peskine-Szpiro and Roberts and the Evans-Griffith syzygy conjecture) follow from the direct summand conjecture when the residual characteristic of the local ring is positive.

TL;DR: In this paper, a proof of Vaserstein's prestabilization theorem for K,, making no restriction on the presence of zero-divisors is given, and the structure of an abelian group on Urn,(R)/E,+,(R) for d > 3.

TL;DR: The group mentioned in the title is shown to be a certain infinitely generated Coxeter group extended by the negative of the identity operation and the group of all automorphisms of the notorious Leech lattice as discussed by the authors.

TL;DR: The Buchsbaum rings as discussed by the authors are an extension of that of Cohen-Macaulay rings and were introduced in an answer of Vogel [29] to a problem of Buchsbaussbaum [11].

TL;DR: In this paper, the multiplicities mλ in the cocharacter χn(A) of (any P.I. algebra A) are polynomially bounded, and a hook containing χ n(A ⊗ B) is obtained from the hooks containing mλ.

TL;DR: In this paper, the authors determine which classes in the locally free class group Cl(οG) of the group ring οG are realizable as Galois module classes of rings of integers O L in tame Galois extensions L K with Gal (L K ) ≅ G.

TL;DR: In this paper, the authors present an alternative way for the study of the coherence of monoidal categories with group structure, which can be seen as an alternative approach to our approach.

TL;DR: The generalized Nakayama conjecture for graded algebras has been studied in this paper, where it is shown that the determinant of the Cartan map is one for finite-dimensional algebra of infinite dominant dimension.

TL;DR: In this paper, the authors give a precise formula for the number of p-blocks with defect group D by extending the techniques of the three above-mentioned papers, together with some new ideas.

TL;DR: In this article, necessary and sufficient conditions for the semidirect product of two monoids to be regular were determined for the case where the monoid product is a regular monoid.

TL;DR: In this paper, a series of techniques for modules over valuation rings are developed, which are the simplest kind of commutative non-noetherian rings, i.e., those R-modules in which the submodules form a chain.

TL;DR: In this article, it was proved that a finite solvable group is Q -admissible if and only if all its Sylow subgroups are metacyclic, i.e., all the subgroups of a group G are connected by a cross product.

TL;DR: In this article, it was shown that for an algebraic variety V and an ideal Y of its structure sheaf @, the conormal cone of X is given by the scheme Spec(Gr(X)), whereas the blow-up of V at Y is defined by Bly(Y) = Proj(%(X)) +tiv,p V.