On isometries of lattices

Ján Jakubík · Czech digital mathematics library · 1984

JAN JAKUBlK Dedicated to Academician Stefan Schwarz on the occasion of his 70th birthdayMetrics defined on lattices with values in an abelian partially ordered group are dealt with in this note.Smarda [7] investigated metrics defined on lattice ordered groups with values in an abelian lattice ordered group.Swamy [6] studied a metric d(x, y) on an abelian lattice ordered group G with values in G, where d(x, y) = |x -y | for each x, y eG.

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