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Relations Defined on Sets

Edmund Woronowicz

Open publisher page 329 citations

Abstract

Summary. The article includes theorems concerning properties of relations defined as a subset of the Cartesian product of two sets (mode Relation of X,Y where X,Y are sets). Some notions, introduced in [4] such as domain, codomain, field of a relation, composition of relations, image and inverse image of a set under a relation are redefined. MML Identifier:RELSET_1.

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What this paper is about

Summary. The article includes theorems concerning properties of relations defined as a subset of the Cartesian product of two sets (mode Relation of X,Y where X,Y are sets). Some notions, introduced in [4] such as domain, codomain, field of a relation, composition of relations, image and inverse image of a set under a relation are redefined. MML Identifier:RELSET_1.

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OpenAlex reports 329 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Summary. The article includes theorems concerning properties of relations defined as a subset of the Cartesian product of two sets (mode Relation of X,Y where X,Y are sets). Some notions, introduced in [4] such as domain, codomain, field of a relation, composition of relations, image and inverse image of a set under a relation are redefined. MML Identifier:RELSET_1.

Key concepts: Computer science, Mathematics

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