{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T11:55:28Z","timestamp":1649159728747},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2014,11]]},"abstract":"<jats:p> The study of symmetric rings has important roles in ring theory and module theory. We investigate the structure of ring properties related to symmetric rings and introduce H-symmetric and \u03c0-symmetric as generalizations. We construct a non-symmetric reversible ring whose basic structure is infinite-dimensional, comparing with the finite-dimensional such rings of Anderson, Camillo and Marks. The structure of \u03c0-reversible rings (with or without identity) of minimal order is completely investigated. The properties of zero-dividing polynomials over IFP rings are studied more to show that polynomial rings over symmetric rings are \u03c0-symmetric. It is also proved that all conditions in relation with our arguments in this paper are equivalent for regular or locally finite rings. <\/jats:p>","DOI":"10.1142\/s0218196714500428","type":"journal-article","created":{"date-parts":[[2014,11,3]],"date-time":"2014-11-03T01:50:56Z","timestamp":1414979456000},"page":"935-967","source":"Crossref","is-referenced-by-count":0,"title":["Ring properties related to symmetric rings"],"prefix":"10.1142","volume":"24","author":[{"given":"Da Woon","family":"Jung","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pusan National University, Pusan 609-735, Korea"}]},{"given":"Tai Keun","family":"Kwak","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Daejin University, Pocheon 487\u2013711, Korea"}]},{"given":"Min Jung","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, Pusan National University, Pusan 609-735, Korea"}]},{"given":"Yang","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, Pusan National University, Pusan 609-735, Korea"}]}],"member":"219","published-online":{"date-parts":[[2014,12,9]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1080\/00927879808826274"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1080\/00927879908826596"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2008.01.019"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700029190"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700042052"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1112\/S0024609399006116"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1932-05333-2"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.2307\/2315402"},{"key":"rf9","volume-title":"Von Neumann Regular Rings","author":"Goodearl K. 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