Showing papers in "Communications in Algebra in 1978"
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1,477 citations
312 citations
TL;DR: In this article, a functorial approach to aimost split sequences is proposed for the representation theory of artin algebras, which is based on the idea of representation theory in algebra.
Abstract: (1978). Representation theory of artin algebras VI: A functorial approach to aimost split sequences. Communications in Algebra: Vol. 6, No. 3, pp. 257-300.
79 citations
TL;DR: In this paper, the authors propose a residual finite hnn extension for non-terminating hnn extensions, which they call Residually Finite Hnn Extension (RHEN).
Abstract: (1978). Residually finite hnn extensions. Communications in Algebra: Vol. 6, No. 2, pp. 179-194.
64 citations
TL;DR: In this paper, the authors studied injective and surjective endomorphisms of finitely generated modules and showed that they can be expressed as a set of endomorphism.
Abstract: (1978). On injective and surjective endomorphisms of finitely generated modules. Communications in Algebra: Vol. 6, No. 7, pp. 659-672.
56 citations
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43 citations
TL;DR: In this article, Quotients of hopf algebras are derived from hopf algebraic expressions. But they do not specify hopf-algebraic functions.
Abstract: (1978). Quotients of hopf algebras. Communications in Algebra: Vol. 6, No. 17, pp. 1789-1800.
34 citations
TL;DR: In this article, the computation of even dimension surgery groups of odd torsion groups has been studied in the context of orthogonality, and the authors present an algorithm for computing the even-dimensional surgery groups.
Abstract: (1978). The computation of even dimension surgery groups of odd torsion groups. Communications in Algebra: Vol. 6, No. 14, pp. 1393-1458.
TL;DR: In this article, the authors studied the automorphisms of certain groups of homeomorphisms pf the real line ℝ, namely those which are o-2-transitive and contain positive elements of bounded support.
Abstract: This paper explores the automorphisms of certain groups of homeomorphisms pf the real line ℝ, namely those which are o-2-transitive and contain positive elements of bounded support. If G is such a group, every automorphism of G is induced (via conjugation) by some elenent of the group M(ℝ) of all homeomorphisms of ℝ, and we may presume that Aut(G) ≤ ℝ. Thus each automorphism either preserves or reverses order, and this is the key to the proof. This generalizes results of James Whittaker [l9] so as to encompass the group D of diffeomorphisms (C1not required) and the group PL of piecewise linear homeomorphisms, for which it is further shown that all automorphisms are inner. Other aspects of these two groups were dealt with in [15], for which the present paper is a companion. Similar results are obtained for more general ordered sets S, but with Aut (G) ≤ M([Sbar]) [Sbar]the Dedekind completion of S. In many cases, however, this can be improved to yield Aut(G) ≤ M(S).
TL;DR: In this article, the authors define automorphisms of the fuchsian groups op type (0;2,2 2,2, 2,q;0) op type.
Abstract: (1978). Automorphisms of the fuchsian groups op type (0;2,2,2,q;0) Communications in Algebra: Vol. 6, No. 11, pp. 1115-1129.
TL;DR: In this paper, Anneaux noetheriens a droite entiers sur un sous-anneau de leur center, and the authors present an algebraic model of Anneaux's center.
Abstract: (1978). 'Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre' Communications in Algebra: Vol. 6, No. 2, pp. 203-222.
TL;DR: In this article, the authors give necessary and sufficient conditions under which an injective module with the ascending chain condition on annihilators must also have the descending chain condition of the torsion radical.
Abstract: Jategaonkar [9, Proposition 1.9] has shown that if P is a minimal prime ideal of a left Noetherian ring R, then R has finite length with respect to the torsion radical defined at P . On the other hand, Goel, Jain and Singh [5] have shown that if a semiprime ring R has finite length with respect to a torsion radical τ and τ(R) = 0, then R is a Goldie ring and τ is defined by the injective envelope E(R) of R. In this case τ is defined by a finite set of minimal prime Goldie ideals of R. This paper gives necessary and sufficient conditions under which an injective module with the ascending chain condition on annihilators must also have the descending chain condition on annihilators. The results will be stated in terms of the torsion radical defined by the injective module under consideration, as