{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T09:13:05Z","timestamp":1769850785190,"version":"3.49.0"},"reference-count":27,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2008,7,10]],"date-time":"2008-07-10T00:00:00Z","timestamp":1215648000000},"content-version":"vor","delay-in-days":9,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2008,7]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper we carry out an algebraic investigation of the weak nilpotent minimum logic (WNM) and its t\u2010norm based axiomatic extensions. We consider the algebraic counterpart of WNM, the variety of WNM\u2010algebras (\ud835\udd4e\u2115\ud835\udd44) and prove that it is locally finite, so all its subvarieties are generated by finite chains. We give criteria to compare varieties generated by finite families of WNM\u2010chains, in particular varieties generated by standard WNM\u2010chains, or equivalently t\u2010norm based axiomatic extensions of WNM, and we study their standard completeness properties. We also characterize the generic WNM\u2010chains, i. e. those that generate the variety \ud835\udd4e\u2115\ud835\udd44, and we give finite axiomatizations for some t\u2010norm based extensions of WNM. (\u00a9 2008 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200710054","type":"journal-article","created":{"date-parts":[[2008,7,10]],"date-time":"2008-07-10T09:52:32Z","timestamp":1215683552000},"page":"387-409","source":"Crossref","is-referenced-by-count":23,"title":["On triangular norm based axiomatic extensions of the weak nilpotent minimum logic"],"prefix":"10.1002","volume":"54","author":[{"given":"Carles","family":"Noguera","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francesc","family":"Esteva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joan","family":"Gispert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2008,7,10]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02483723"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"W. 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