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This paper is devoted to a description of this well-known method in general, and provides insight into those results which are obtained using the method. In fact, we prove that the uniform topology induced by this method coincides with a partition topology generated by an equivalence relation, and illustrate the logic behind the continuity of algebraic operations in these kinds of uniform topologies. Furthermore, the main topological properties of the partition topology induced by a congruence relation are presented. As an application, we explain why many results obtained from this method are trivial. These results have been collected from the works of several mathematicians on more than twenty different algebraic systems over the course of two decades.<\/jats:p>","DOI":"10.3233\/jifs-191709","type":"journal-article","created":{"date-parts":[[2020,6,9]],"date-time":"2020-06-09T13:02:40Z","timestamp":1591707760000},"page":"789-793","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A note on a method for constructing uniform topologies on algebras associated with logical systems"],"prefix":"10.1177","volume":"39","author":[{"given":"Mohammad Sina","family":"Asadzadeh","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gholam Reza","family":"Rezaei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javad","family":"Jamalzadeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,6,6]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.5831\/HMJ.2008.30.2.247"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.4134\/CKMS.2008.23.2.169"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2019.04.014"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.4134\/BKMS.2005.42.2.379"},{"issue":"3","key":"e_1_3_1_6_2","first-page":"405","article-title":"Uniform topology on Hilbert algebras","volume":"45","author":"Borumand Saeid A.","year":"2005","unstructured":"Borumand SaeidA., BabaeiH. and HaveshkiM., Uniform topology on Hilbert algebras, Kyungpook Math J 45(3) (2005), 405\u2013411.","journal-title":"Kyungpook Math J"},{"issue":"1","key":"e_1_3_1_7_2","first-page":"21","article-title":"Uniform space of d-algebras","volume":"14","author":"Borumand Saeid A.","year":"2007","unstructured":"Borumand SaeidA. and HaveshkiM., Uniform space of d-algebras, Adv Stud Contemp Math 14(1) (2007), 21\u201328.","journal-title":"Adv Stud Contemp Math"},{"key":"e_1_3_1_8_2","first-page":"53","article-title":"Uniform structure on hy-per}-algebras","volume":"8","author":"Borumand Saeid A.","year":"2003","unstructured":"Borumand SaeidA. and ZahediM.M., Uniform structure on hy-per}-algebras, Sci Math Jpn 8 (2003), 53\u201356.","journal-title":"Sci Math Jpn"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.07.022"},{"key":"e_1_3_1_10_2","unstructured":"EngelkingR. 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