{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T05:43:34Z","timestamp":1648964614487},"reference-count":21,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,1,1]]},"DOI":"10.2478\/v10037-008-0031-1","type":"journal-article","created":{"date-parts":[[2009,3,21]],"date-time":"2009-03-21T01:07:26Z","timestamp":1237597646000},"source":"Crossref","is-referenced-by-count":1,"title":["Block Diagonal Matrices"],"prefix":"10.2478","volume":"16","author":[{"given":"Karol","family":"P\u0105k","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","reference":[{"key":"1","first-page":"377","article-title":"Cardinal numbers","volume":"2","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"key":"2","first-page":"41","article-title":"The fundamental properties of natural numbers","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"key":"3","first-page":"107","article-title":"Segments of natural numbers and finite sequences","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"key":"4","first-page":"643","article-title":"Binary operations applied to finite sequences","volume":"4","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"key":"5","first-page":"529","article-title":"Finite sequences and tuples of elements of a non-empty sets","volume":"3","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"key":"6","first-page":"55","article-title":"Functions and their basic properties","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"key":"7","first-page":"357","article-title":"Partial functions","volume":"2","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"key":"8","first-page":"475","article-title":"Matrices. Abelian group of matrices","volume":"4","author":"Katarzyna Jankowska","year":"1991","journal-title":"Formalized Mathematics"},{"key":"9","first-page":"711","article-title":"Transpose matrices and groups of permutations","volume":"5","author":"Katarzyna Jankowska","year":"1991","journal-title":"Formalized Mathematics"},{"key":"10","first-page":"573","article-title":"The Chinese Remainder Theorem","volume":"4","author":"Andrzej Kondracki","year":"1997","journal-title":"Formalized Mathematics"},{"key":"11","first-page":"275","article-title":"Functions and finite sequences of real numbers","volume":"2","author":"Jaros\u0142aw Kotowicz","year":"1992","journal-title":"Formalized Mathematics"},{"key":"12","first-page":"335","article-title":"Abelian groups, fields and vector spaces","volume":"2","author":"Eugeniusz Kusak","year":"1990","journal-title":"Formalized Mathematics"},{"key":"13","first-page":"83","article-title":"Binary arithmetics","volume":"1","author":"Takaya Nishiyama","year":"1993","journal-title":"Formalized Mathematics"},{"key":"14","first-page":"199","article-title":"Basic properties of the rank of matrices over a field","volume":"4","author":"Karol P\u03b1k.","year":"2007","journal-title":"Formalized Mathematics"},{"key":"15","first-page":"143","article-title":"Laplace expansion","volume":"3","author":"Karol P\u03b1k","year":"2007","journal-title":"Formalized Mathematics"},{"key":"16","first-page":"821","article-title":"Groups","volume":"5","author":"Wojciech Trybulec","year":"1990","journal-title":"Formalized Mathematics"},{"key":"17","first-page":"291","article-title":"Vectors in real linear space","volume":"2","author":"Wojciech Trybulec","year":"1990","journal-title":"Formalized Mathematics"},{"key":"18","first-page":"41","article-title":"Lattice of subgroups of a group. Frattini subgroup","volume":"1","author":"Wojciech Trybulec","year":"1991","journal-title":"Formalized Mathematics"},{"key":"19","first-page":"67","article-title":"Properties of subsets","volume":"1","author":"Zinaida Trybulec","year":"1990","journal-title":"Formalized Mathematics"},{"key":"20","first-page":"205","article-title":"The sum and product of finite sequences of elements of a field","volume":"2","author":"Katarzyna Zawadzka","year":"1992","journal-title":"Formalized Mathematics"},{"key":"21","first-page":"1","article-title":"The product and the determinant of matrices with entries in a field","volume":"1","author":"Katarzyna Zawadzka","year":"1993","journal-title":"Formalized Mathematics"}],"container-title":["Formalized Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/j\/forma.2008.16.issue-3\/v10037-008-0031-1\/v10037-008-0031-1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,30]],"date-time":"2020-05-30T15:27:28Z","timestamp":1590852448000},"score":1,"resource":{"primary":{"URL":"https:\/\/content.sciendo.com\/doi\/10.2478\/v10037-008-0031-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1,1]]},"references-count":21,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.2478\/v10037-008-0031-1","relation":{},"ISSN":["1898-9934","1426-2630"],"issn-type":[{"value":"1898-9934","type":"electronic"},{"value":"1426-2630","type":"print"}],"subject":[],"published":{"date-parts":[[2008,1,1]]}}}