MORPHISMS AND PROPERTIES OF NON-ASSOCIATIVE ALGEBRAIC SYSTEMS WITH MOUFANG TYPE CONDITIONS
| dc.contributor.author | Didurik, Natalia | |
| dc.date.accessioned | 2022-02-28T12:16:37Z | |
| dc.date.available | 2022-02-28T12:16:37Z | |
| dc.date.issued | 2021 | |
| dc.description | Summary of Ph.D. Thesis in Mathematics - Doctoral advisor: SHCHERBACOV, Victor, dr. hab., ass. prof. | en |
| dc.description.abstract | The purpose and objectives of the thesis. The aim of the paper is to investigate the mor-phisms and properties of non-associative algebraic systems with Moufang-type identities. To achieve this goal, the following objectives have been defined: (1) research on the relations of 𝑊𝐴-, 𝐶𝐼-quasigroups, transitive on the left and Neumann with the quasigroups Moufang, Bol on the left, on the right, etc.; (2) research of quasigroups with any of the 60 classical Bol-Moufang identities listed in [12] at the existence of the unit; (3) research of morphisms, properties, relationships with other classes of quasigroups of newly defined quasigroups (i-quasigroups and 𝑂𝑊𝐼𝑃-quasigroups); (4) research on the G-properties of left transitive quasigroups and Neumann quasigroup. | en |
| dc.identifier.citation | DIDURIK, Naytalia. Morphisms and properties of non-associative algebraic systems with Moufang type conditions: summary of Ph.D. thesis in mathematics. 111.03 - Mathematical Logic, Algebra and Number Theory. Ch., 2021. 25 p. | en |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/5736 | |
| dc.language.iso | en | en |
| dc.subject | quasigroup | en |
| dc.subject | loop | en |
| dc.subject | seudo-automorphism | en |
| dc.subject | left identity element | en |
| dc.title | MORPHISMS AND PROPERTIES OF NON-ASSOCIATIVE ALGEBRAIC SYSTEMS WITH MOUFANG TYPE CONDITIONS | en |
| dc.type | Thesis | en |