{"id":2001,"date":"2022-01-25T11:26:41","date_gmt":"2022-01-25T11:26:41","guid":{"rendered":"https:\/\/akademperiodyka.org.ua\/en\/?p=2001"},"modified":"2025-09-22T12:43:01","modified_gmt":"2025-09-22T12:43:01","slug":"shchedryk","status":"publish","type":"post","link":"https:\/\/akademperiodyka.org.ua\/en\/books\/shchedryk\/","title":{"rendered":"Arithmetic of matrices over rings"},"content":{"rendered":"
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Authors:<\/strong> Shchedryk V.P.<\/div>\n
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Year:<\/strong> 2021<\/div>\n<\/div>\n
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Pages:<\/strong> 278<\/div>\n<\/div>\n
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ISBN:<\/strong> 978-966-360-430-5<\/div>\n<\/div>\n
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Publication Language:<\/strong> English<\/div>\n<\/div>\n
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Edition:<\/strong> 150<\/div>\n<\/div>\n
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Publisher:<\/strong> PH \u201cAkademperiodyka\u201d<\/div>\n<\/div>\n
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Place Published:<\/strong> Kyiv<\/div>\n<\/div>\n
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DOI:<\/strong>\u00a0 https:\/\/doi.org\/10.15407\/akademperiodika.430.278<\/a><\/div>\n<\/div>\n
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Full Text: Shchedryk_VP_-_Arithmetic_of_matrices_web<\/a><\/div>\n<\/div>\n<\/div>\n
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The book is devoted to investigation of arithmetic of the matrix rings over certain classes of commutative finitely generated principal ideals do- mains. We mainly concentrate on constructing of the matrix factorization theory. We reveal a close relationship between the matrix factorization and specific properties of subgroups of the complete linear group and the special normal form of matrices with respect to unilateral equivalence. The properties of matrices over rings of stable range 1.5 are thoroughly studied.<\/p>\n

The book is intended for experts in the ring theory and linear algebra, senior and post-graduate students.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Authors: Shchedryk V.P. Year: 2021 Pages: 278 ISBN: 978-966-360-430-5 Publication Language: English Edition: 150 Publisher: PH \u201cAkademperiodyka\u201d Place Published: Kyiv DOI:\u00a0 https:\/\/doi.org\/10.15407\/akademperiodika.430.278 Full Text: Shchedryk_VP_-_Arithmetic_of_matrices_web The book is devoted to investigation of arithmetic of the matrix rings over certain classes of commutative finitely generated principal ideals do- mains. We mainly concentrate on constructing of the […]<\/p>\n","protected":false},"author":1,"featured_media":2002,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,21,24],"tags":[],"class_list":["post-2001","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-books","category-scientific_monographs","category-ukrainian_scientifical_book"],"_links":{"self":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/2001","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/comments?post=2001"}],"version-history":[{"count":6,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/2001\/revisions"}],"predecessor-version":[{"id":6404,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/2001\/revisions\/6404"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/media\/2002"}],"wp:attachment":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/media?parent=2001"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/categories?post=2001"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/tags?post=2001"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}