### Algebraic Spaces and Set Decompositions

#### Abstract

The contribution is growing up from certain parts of scientiﬁc work by professor Boruvka in several ways. Main focus is on the decomposition theory, especially algebraized decompositions of groups. Professor Boruvka in his excellent and well-known book [3] has developed the decomposition (partition) theory, where the fundamental role belongs to so called generating decompositions. Furthermore, the contribution is also devoted to hypergroups, to algebraic spaces called also quasi-automata or automata without outputs. There is attempt to develop more fresh view point on this topic.

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DOI: http://dx.doi.org/10.23755/rm.v34i0.415

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