{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:50:38Z","timestamp":1754157038008,"version":"3.41.2"},"reference-count":6,"publisher":"Emerald","issue":"5\/6","license":[{"start":{"date-parts":[[2012,6,8]],"date-time":"2012-06-08T00:00:00Z","timestamp":1339113600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012,6,8]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>Deontical impure systems are systems whose object set is formed by an s\u2010impure set, whose elements are<jats:italic>perceptuales significances<\/jats:italic>(relative beings) of material and\/or energetic objects (absolute beings) and whose relational set is freeways of relations, formed by sheaves of relations going in two\u2010way directions. Objects and freeways form chains.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>The approach used was mathematical and logical development of human society structure.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>Existence of relations with positive imperative modality (obligation) would constitute the skeleton of the system. Negative imperative modality (prohibition) would be the immunological system of protection of the system. Modality permission the muscular system, that gives the necessary flexibility to the system, in as much to the modality faculty its neurocerebral system, because it allows one to make decisions. Transactions of energy, money, merchandise, population, etc. would be the equivalent one to the sanguineous system. These economic transactions and inferential relations, depend, as well, on the existence of a legislative body with their obligations, prohibitions and permissions that regulate them.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>This paper is a continuation of Part I, published in<jats:italic>Kybernetes<\/jats:italic>, Volume 41, Issue 1\/2, 2012, continuing the development of Alysidal Algebra, which is important for the study of deontical impure systems. They are defined coupling functions and alysidal structures. It is defined as a special coupling function denominated gnorpsic function that can be used for algebraic operations between alysidal sets.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684921211247541","type":"journal-article","created":{"date-parts":[[2014,11,4]],"date-time":"2014-11-04T05:15:22Z","timestamp":1415078122000},"page":"780-793","source":"Crossref","is-referenced-by-count":24,"title":["An introduction to alysidal algebra (II)"],"prefix":"10.1108","volume":"41","author":[{"given":"J.","family":"Nescolarde\u2010Selva","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F.","family":"Vives\u2010Maci\u00e1","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.L.","family":"Us\u00f3\u2010Dom\u00e9nech","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"Berend","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022032220132323100_b1","unstructured":"Birkhoff, G. and MacLane, S.A. (1996), Survey of Modern Algebra, 5th ed., Macmillian, New York, NY."},{"key":"key2022032220132323100_b2","unstructured":"Blyth, T.S. (2005), Lattices and Ordered Algebraic Structures, Springer, New York, NY."},{"key":"key2022032220132323100_b3","doi-asserted-by":"crossref","unstructured":"McLarty, C. (2006), \u201cEmmy Noether's set theoretic topology: from dedekind to the rise of functors\u201d, in Gray, J. and Ferreir\u00f3s, J. (Eds), The Architecture of Modern Mathematics: Essays in History and Philosophy, Oxford University Press, Oxford.","DOI":"10.1093\/oso\/9780198567936.003.0007"},{"key":"key2022032220132323100_b4","doi-asserted-by":"crossref","unstructured":"Nescolarde\u2010Selva, J., Vives\u2010Maci\u00e1, F., Us\u00f3\u2010Dom\u00e9nech, J.L. and Berend, D. (2012), \u201cAn introduction to alysidal algebra (I)\u201d, Kybernetes, Vol. 41 Nos 1\/2, pp. 21\u201034.","DOI":"10.1108\/03684921211213089"},{"key":"key2022032220132323100_b5","unstructured":"Us\u00f3\u2010Dom\u00e8nech, J.L., Vives\u2010Maci\u00e1, F., Nescolarde\u2010Selva, J. and Patten, B.C. (2009a), \u201cA walford's metadynamic point of view of ecosustainability ideology (I)\u201d, in Lasker, G.E. and Hiwaki, K. (Eds), Sustainable Development and Global Community, Vol. X, The International Institute for Advanced Studies in Systems Research and Cybernetics, Tecumseh, pp. 35\u20109."},{"key":"key2022032220132323100_b6","unstructured":"Us\u00f3\u2010Dom\u00e8nech, J.L., Vives\u2010Maci\u00e1, F., Nescolarde\u2010Selva, J. and Patten, B.C. (2009b), \u201cA walford's metadynamic point of view of ecosustainability ideology (II)\u201d, in Lasker, G.E. and Hiwaki, K. (Eds), Sustainable Development and Global Community, Vol. X, The International Institute for Advanced Studies in Systems Research and Cybernetics, Tecumseh, pp. 41\u20105."}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/03684921211247541","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684921211247541\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684921211247541\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:27:35Z","timestamp":1753399655000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/41\/5-6\/780-793\/261438"}},"subtitle":[],"editor":[{"given":"Sifeng","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,6,8]]},"references-count":6,"journal-issue":{"issue":"5\/6","published-print":{"date-parts":[[2012,6,8]]}},"alternative-id":["10.1108\/03684921211247541"],"URL":"https:\/\/doi.org\/10.1108\/03684921211247541","relation":{},"ISSN":["0368-492X"],"issn-type":[{"type":"print","value":"0368-492X"}],"subject":[],"published":{"date-parts":[[2012,6,8]]}}}