LP-structures analysis: Substantiation of refactoring in object-oriented programming

Makhortov, S. D.; Shurlin, M. D.

doi:10.1134/s0005117913070126

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Cited by 3 publications

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“…Abstract theory of algebraic structures (sometimes called universal algebra) forms the basis for various applications [1][2][3][4][5][6][7][8]. Semigroups and lattices are the simplest structures but not the least ones.…”

Section: Introductionmentioning

confidence: 99%

Dual ordered structures of binary relations

Tsvetov¹

2018

Collection of Selected Papers of the IV International Conference on Information Technology and Nanotechnology

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The theory of ordered structures like a (lattice) ordered semigroups is applied to graphs and automatons as well as to coding, programming and artificial intelligence. In this paper an algebraic structure on an underlying set of binary relations is considered. The structure includes the operations of Boolean algebra, inverse and composition. It is defined a dual semigroup to the binary relations ordered semigroup, and then the general properties of dual operations are studied.

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Section: Introductionmentioning

confidence: 99%