Journal•ISSN: 0022-4049
Journal of Pure and Applied Algebra
Elsevier BV
About: Journal of Pure and Applied Algebra is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Ring (mathematics) & Cohomology. It has an ISSN identifier of 0022-4049. Over the lifetime, 7600 publications have been published receiving 131943 citations.
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TL;DR: In this paper, the Buchberger algorithm is replaced by the simultaneous reduction of several polynomials, which is achieved by means of a symbolic precomputation and by extensive use of sparse linear algebra methods.
1,089 citations
TL;DR: The Wirtinger presentation of the knot group involves only relations of the form y -1 xy = z and so may be construed as presenting a quandle rather than a group as discussed by the authors.
999 citations
TL;DR: In this paper, the closely related Gorenstein projective, Goren stein injective and 2-at dimensions of modules are studied, and a generalization of these results is given to give homological descriptions of the GORNE dimensions over arbitrary associative rings.
762 citations
602 citations
TL;DR: Semi-abelian categories as mentioned in this paper allow for a generalized treatment of abelian-group and module theory, and have a finite coproducts and a zero object.
547 citations