T. R. Igonina, V. M. Keselman, O. R. Paraskevopulo
{"title":"Some Criteria of Capacitive Type of a Noncompact Riemannian Manifold","authors":"T. R. Igonina, V. M. Keselman, O. R. Paraskevopulo","doi":"10.3103/s0027132222020036","DOIUrl":"https://doi.org/10.3103/s0027132222020036","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A fairly general concept of an integral capacity on a Riemannian manifold is considered, which includes the concepts of capacity known for the geometric theory of functions such as the classical and conformal capacities. In terms of this general capacity, as in the case of the classical capacity, the concept of capacitive type of Riemannian manifold is defined. In this paper, we present some integral criteria of the capacitive type of a non-compact Riemannian manifold, which complement and, in certain cases, strengthen the known criteria of the classical capacitive type of a Riemannian manifold.</p>","PeriodicalId":42963,"journal":{"name":"Moscow University Mathematics Bulletin","volume":"2 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unique Typed Basic Categorial Grammars","authors":"M. E. Vishnikin","doi":"10.3103/s0027132222020097","DOIUrl":"https://doi.org/10.3103/s0027132222020097","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>It is proved that unique typed basic categorial grammars are not closed under any natural language operations.</p>","PeriodicalId":42963,"journal":{"name":"Moscow University Mathematics Bulletin","volume":"2 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Gradings of Quadratic Kummer Extensions","authors":"D. A. Badulin, A. L. Kanunnikov","doi":"10.3103/s0027132222020024","DOIUrl":"https://doi.org/10.3103/s0027132222020024","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>All gradings of quadratic Kummer extensions by a group are described. These extensions have a natural grading by Galois group and its subgroups. Sufficient and necessary conditions for such extensions to have nontrivial gradings by other groups are determined.</p>","PeriodicalId":42963,"journal":{"name":"Moscow University Mathematics Bulletin","volume":"54 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Implementation of Monotone Boolean Functions by Memoryless Programs","authors":"A. Chashkin","doi":"10.3103/S0027132222030056","DOIUrl":"https://doi.org/10.3103/S0027132222030056","url":null,"abstract":"","PeriodicalId":42963,"journal":{"name":"Moscow University Mathematics Bulletin","volume":"77 1","pages":"136 - 143"},"PeriodicalIF":0.4,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49080555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Bounds on the Number of Partitions of the Space $$mathbf{F}_{mathbf{2}}^{boldsymbol{m}}$$ into $$boldsymbol{k}$$-Dimensional Affine Subspaces","authors":"I. P. Baksova, Y. Tarannikov","doi":"10.3103/s0027132222030044","DOIUrl":"https://doi.org/10.3103/s0027132222030044","url":null,"abstract":"","PeriodicalId":42963,"journal":{"name":"Moscow University Mathematics Bulletin","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46311689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}