Kientega, Gerard; Nonkané, Ibrahim Affine completeness of some modules. (English) Zbl 1286.13008 Afr. Diaspora J. Math. 14, No. 1, 73-82 (2012). Summary: We generalize some affine completeness properties of abelian groups to modules over commutative domains. Cited in 1 Document MSC: 13C13 Other special types of modules and ideals in commutative rings 08A40 Operations and polynomials in algebraic structures, primal algebras Keywords:universal algebra; affine completeness × Cite Format Result Cite Review PDF Full Text: Euclid References: [1] K. Kaarli and A. F. Pixley, Polynomial completeness in algebraic systems. Chapman & Hall, London, New York, Washington 2000. · Zbl 0964.08001 [2] K. Kaarli, Compatible function extension property. Algebra Universalis 17 , (1983) 200-207. · Zbl 0535.08002 · doi:10.1007/BF01194529 [3] K. Kaarli, Affine complete abelian groups. Math. Nachr. 107 , (1982), 235-239. · Zbl 0531.20033 · doi:10.1002/mana.19821070118 [4] G. Kientega and I. Rosenberg, Extension of partial operation and relations. Math.Sci Res.J. , Vol. 8 (2004), no. 12, 362-372. · Zbl 1078.08002 [5] L. Fuchs, Infinite abelian groups . Vol. 1 and 2, Academic Press, New York and London 1970, 1973. · Zbl 0209.05503 [6] S. Lang, Algebra . GTM Springer, 2002. [7] R. N. MacKenzie, G. F. McNulty, W. F. Taylor, Algebras, lattices, varieties . Vol . I (1987). Wadsworth & Brooks / Cole Advanced Books & Software. · Zbl 0611.08001 [8] W. Nöbauer, Über die affinevollständigen, endlich erzeugbaren Moduln. Monatssh. Math. 82 , (1987), 187-198. · Zbl 0357.08006 · doi:10.1007/BF01526325 [9] A. Saks, On affine completeness of decomposable modules , Tartu lik. Toimetoised 764 , (1985), 123-135. · Zbl 0646.16022 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.