{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T06:56:37Z","timestamp":1765608997854},"reference-count":46,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"name":"ISF","award":["1994\/20"],"award-info":[{"award-number":["1994\/20"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:p> The Tate\u2013Shafarevich set of a group [Formula: see text] defined by Takashi Ono coincides, in the case where [Formula: see text] is finite, with the group of outer class-preserving automorphisms of [Formula: see text] introduced by Burnside. We consider analogs of this important group-theoretic object for Lie algebras and associative algebras and establish some new structure properties thereof. We also discuss open problems and eventual generalizations to other algebraic structures. <\/jats:p>","DOI":"10.1142\/s0218196723500364","type":"journal-article","created":{"date-parts":[[2023,5,22]],"date-time":"2023-05-22T01:22:48Z","timestamp":1684718568000},"page":"819-836","source":"Crossref","is-referenced-by-count":3,"title":["Tate\u2013Shafarevich groups and algebras"],"prefix":"10.1142","volume":"33","author":[{"given":"Boris","family":"Kunyavski\u012d","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel"}]},{"given":"Vadim Z.","family":"Ostapenko","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel"}]}],"member":"219","published-online":{"date-parts":[[2023,6,29]]},"reference":[{"key":"S0218196723500364BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S1005386705000672"},{"key":"S0218196723500364BIB002","doi-asserted-by":"crossref","first-page":"733","DOI":"10.17516\/1997-1397-2020-13-6-733-745","volume":"13","author":"Adashev J. 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