{"id":1972,"date":"2014-05-15T12:53:47","date_gmt":"2014-05-15T07:53:47","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?page_id=1972"},"modified":"2016-11-23T13:02:38","modified_gmt":"2016-11-23T09:02:38","slug":"department-of-algebra-and-mathematical-logic","status":"publish","type":"page","link":"https:\/\/www.imm.az\/exp\/departments\/department-of-algebra-and-mathematical-logic\/","title":{"rendered":"Department of “Algebra and mathematical logic”"},"content":{"rendered":"

\"Cebr_ve_riyazi_mentiq\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Head of the department:<\/strong><\/td>\nAli Avaz oglu Babaev
\nphD in math.<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
Tel:<\/strong><\/td>\n\u00a0(+994 12) 5396960 , (050)303-03-10<\/td>\n<\/tr>\n
E-mail:<\/strong><\/td>\n\u00a0 a.babayev49@gmail.com , ali.babayev@imm.az<\/td>\n<\/tr>\n
Number of employees:<\/strong><\/td>\n11<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
The basic scientific of the department:<\/strong><\/td>\nInvestigation of wave propagation process in deformable solids. Impact and failure problems. Elaboration of new solution methods.<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
The obtained basic scientific results:<\/strong><\/td>\nOn the first problem T.Evens problem on indecomposable in intersection of semigroup varietes is solved.
\nA. Salomaa problem on fundamental subgroups of symmetric groups is solved.
\nR.Knoebel problem for finite groupoid is solved.
\nWith the help of method of proof theory coherence theorem in Cartesian closed, biclosed and symmetric monoidal categories is proved.
\nIn special class of topological spaces in terms of right ideals semigroups of homeomorphic mappings of these spaces into itself dimension of these spaces is expressed.
\nQuestions connected with semigroups of homeomorphic, local homeomorphic, open continuous and open mappings of topological spaces are studied.
\nThe investigations in the field of non-classic logics. A few form of formalization of intuitionist negationlesse logic and their interpretations are proposed.
\nThe deductive possibility of this system has been studied.
\nIn the framework of the group-theoretic approach of the investigation of nonlinear classical and quantum dynamical systems it have been obtained the exact solutions of the four-dimensional self-duality Yang-Mills model (SDYM) for an arbitrary semisimple Lie algebra, and for a variety of symmetry reductions of the self-duality equations, such as the model of WZNW (Wess-Zumino -Novikov-Witten), the principal chiral field model with movable poles and others.
\nThe second problem is the research on mathematcal and logical works of Nasir ad-din at-Tusi.
\nThe manuscripts of Tusi:\u201dThe Collection of Arithmetic (Jami al-hisab bi-l-Takht wa-l-turab ), \u201dTadjrid-al-mantic\u201d and \u201cThe exporsition of\u00a0 \u201cThe book of supposition\u201d of Sabit ibn Kurra\u201d were translated into Azerbaijani and Russian.This work are investigated. The translation of \u201cTahriri Oglidis\u201d of Tusi was edited.This work is investigated.
\nIn the study of the treatises we found facts previously unknown and changing the dating of some mathematical statments.There are:
\nthe prinsiple of letter designation of degrees of Tusi and Outred (1574-1660) are the same.
\n-Ad-Tusi\u2019s remark about \u201ccriterion\u201d that is the concidence of \u201ccriterions\u201d is necessary, but not sufficient In the history of mathematics the first indication of insufficiency of that condition dates back to the 15-th century.
\nIt was thout that the first streometric axioms were formulated only 17-th century. N.Tusi in \u201cTahriri Oqlidis\u201d formulated three stereometric axiom. The study of Tusi\u2019s comment in terms of geometric concepts, terminology and demonstrations of\u00a0 theorems leads us to the conclusion that at the time of writing the \u201c Tahrir\u201d, the nature and conception of a geometry was changed.
\nThe logical treatise \u201cA\u2019sas al ikchtibas\u201d is translated and stadied.
\nAnother interesting fact is the metod of finding a common denominator as the least common multiple. For the first time this method dates from the second half of the 16th century (Tartalia and Clavius).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Head of the department: Ali Avaz oglu Babaev phD in math. Tel: \u00a0(+994 12) 5396960 , (050)303-03-10 E-mail: \u00a0 a.babayev49@gmail.com , ali.babayev@imm.az Number of employees: 11 The basic scientific of the department: Investigation of wave propagation process in deformable solids. Impact and failure problems. Elaboration of new solution methods. The obtained basic scientific results: On […]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":1913,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1972"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=1972"}],"version-history":[{"count":4,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1972\/revisions"}],"predecessor-version":[{"id":9569,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1972\/revisions\/9569"}],"up":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1913"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=1972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}