{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T17:09:32Z","timestamp":1773162572540,"version":"3.50.1"},"reference-count":41,"publisher":"American Mathematical Society (AMS)","issue":"4","license":[{"start":{"date-parts":[[2021,1,7]],"date-time":"2021-01-07T00:00:00Z","timestamp":1609977600000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00c3\u00a7\u00c3\u00a3o para a Ci\u00c3\u00aancia e a Tecnologia","doi-asserted-by":"publisher","award":["SFRH\/BPD\/90538\/2012"],"award-info":[{"award-number":["SFRH\/BPD\/90538\/2012"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00c3\u00a7\u00c3\u00a3o para a Ci\u00c3\u00aancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/MAT\/04721\/2013"],"award-info":[{"award-number":["UID\/MAT\/04721\/2013"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Trans. Amer. Math. Soc."],"abstract":"<p>\n                    We develop the basic properties of\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"w\">\n                        <mml:semantics>\n                          <mml:mi>w<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">w<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -simple-minded systems in\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"left-parenthesis negative w right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mo>\n                              \u2212\n                              \n                            <\/mml:mo>\n                            <mml:mi>w<\/mml:mi>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">(-w)<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -Calabi-Yau triangulated categories for\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"w greater-than-or-slanted-equals 1\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>w<\/mml:mi>\n                            <mml:mo>\n                              \u2a7e\n                              \n                            <\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">w \\geqslant 1<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . We show that the theory of simple-minded systems exhibits striking parallels with that of cluster-tilting objects. The main result is a reduction technique for negative Calabi-Yau triangulated categories. Our construction provides an inductive technique for constructing simple-minded systems.\n                  <\/p>","DOI":"10.1090\/tran\/8002","type":"journal-article","created":{"date-parts":[[2019,10,9]],"date-time":"2019-10-09T13:20:42Z","timestamp":1570627242000},"page":"2463-2498","source":"Crossref","is-referenced-by-count":8,"special_numbering":"1031","title":["Simple-minded systems and reduction for negative Calabi-Yau triangulated categories"],"prefix":"10.1090","volume":"373","author":[{"given":"Raquel","family":"Coelho Sim\u00f5es","sequence":"first","affiliation":[]},{"given":"David","family":"Pauksztello","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2020,1,7]]},"reference":[{"issue":"3","key":"1","doi-asserted-by":"publisher","first-page":"633","DOI":"10.1112\/jlms\/jdr055","article-title":"Silting mutation in triangulated categories","volume":"85","author":"Aihara, Takuma","year":"2012","journal-title":"J. Lond. Math. Soc. 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