Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 1, pp. 283-289 (2004)

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Categories of locally diagonal partial algebras

Josef \v Slapal

Department of Mathematics, Technical University of Brno, 616 69 Brno, Czech Republic, e-mail: slapal@um.fme.vutbr.cz

Abstract: We define and study the property of local diagonality for partial algebras and also a pair of related properties. We show that each of the three properties, together with idempotency, gives a cartesian closed initially structured subcategory of the category of all partial algebras of a given type.

Keywords: local diagonality, local antidiagonality and weak local antidiagonality for partial algebras, cartesian closed and initially structured category

Classification (MSC2000): 08A55, 08C05, 18D15

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Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.

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