Almost periodicity of functions on universal algebras

Mitrofan M. Choban^a, Dorin I. Pavel<sup>b

a</sup> Department of Mathematics, Tiraspol State University, Chişinău, Republic of Moldova, MD 2069
^b Department of Informatics, Tiraspol State University, Chişinău, Republic of Moldova, MD 2069

Abstract: The Bohr compactification is well known for groups and semigroups [1,4,7,11,13]. In the present paper the analogue of Bohr compactification is considered for universal algebras. Some questions posed by J. E. Hart and K. Kunen [9] are answered.

Keywords and phrases: universal algebra, compactification, almost periodic function, weakly almost periodic function, stable pseudometric.

MSC: 54H10, 06B30, 54C35, 20N15

Received: 31.10.2015

Language: English