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Freeness Conditions for 2-Crossed Modules of Commutative Algebras

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Abstract

In this paper we give a construction of free 2-crossed modules. By the use of a ‘step-by-step’ method based on the work of André, we will give a description of crossed algebraic models for the steps in the construction of a free simplicial resolution of an algebra. This involves the introduction of the notion of a free 2-crossed module of algebras.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Osmangazi University, Eskişehir, Turkey

    Z. Arvasi

  2. School of Mathematics, University of Wales, Bangor, Gwynedd LL57 1UT, UK

    T. Porter

Authors
  1. Z. Arvasi
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  2. T. Porter
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Arvasi, Z., Porter, T. Freeness Conditions for 2-Crossed Modules of Commutative Algebras. Applied Categorical Structures 6, 455–471 (1998). https://doi.org/10.1023/A:1008686023366

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  • DOI: https://doi.org/10.1023/A:1008686023366

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