فشرده سازی نیمگروهی جهانی نسبت به بعضی خاصیت های جبری

chapter two presents three m-admissible function algebras ab, bd, and sl, to construct the universal abelian, band, and semilattice compactifications, respectively. the main results are (11.3), (12.3), and (12.4). some inclusion relationships between these function algebras and the other well-known ones, presented in section 8, are made via the devico of compactifications. chpter three is about, the characterization of the universal nilpotent group campactification in terms of an m-admissible function algebra nng. the main result is (14.2). chapter four is intended to extent the results of chapters two and three for a broad variety fv and fv, to construct the universal v-compactification. and the universal v-compactification, respectively, where v and v stand for varieties of semigroups and groups, respectively. the main results are (15.4). and (16.1) each of last three chapters end with some problems that we belive to be open and need further research. as prerequisises the reader is expected to be acquainted with the general topology and elementary functional analysis; our ground rule is that, facts and concepts from kelley (41). and rudin (66) may be used without explanation or proof.