Sums and Limits of Generalized Direct Families of Algebras |
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| Authors: | Miroslav Ćirić Tatjana Petković Stojan Bogdanović |
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| Affiliation: | (1) Department of Mathematics, University of Ni!["scaron"]("/content/p6011042w77k470k/xlarge353.gif") Faculty of Philosophy, 18000 Ni, !["Cacute"]("/content/p6011042w77k470k/xlarge262.gif") irila i Metodija 2, Yugoslavia;(2) Faculty of Economics, University of Ni, 18000 Ni, Trg JNA 11, Yugoslavia |
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| Abstract: | In this paper we introduce a generalization of direct families of algebras and we study their limits and sums. In the case of generalized direct families of algebras carried by idempotent algebras we investigate some subdirect decompositions of their sums. The results that we obtain generalize various results given by J.L. Chrislock and T. Tamura [2], M.  iri and S. Bogdanovi [3-7], H. Mitsch [13], M. Petrich [14-16], B.M. Schein [23-24] and others.Supported by Grant 04M03B of RFNS through Math. Inst. SANU |
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