NDLI: Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions

Please wait, while we are loading the content...

Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions

Content Provider	Scilit
Author	Davidova, D. S. Movsisyan, Yu. M.
Copyright Year	2015
Abstract	In this paper, we study weakly idempotent lattices with an additional interlaced operation. We characterize interlacity of a weakly idempotent semilattice operation, using the concept of hyperidentity and prove that a weakly idempotent bilattice with an interlaced operation is epimorphic to the superproduct with negation of two equal lattices. In the last part of the paper, we introduce the concepts of a non-idempotent Plonka function and the weakly Plonka sum and extend the main result for algebras with the well known Plonka function to the algebras with the non-idempotent Plonka function. As a consequence, we characterize the hyperidentities of the variety of weakly idempotent lattices, using non-idempotent Plonka functions, weakly Plonka sums and characterization of cardinality of the sets of operations of subdirectly irreducible algebras with hyperidentities of the variety of weakly idempotent lattices. Applications of weakly idempotent bilattices in multi-valued logic is to appear.
Related Links	http://www.degruyter.com/downloadpdf/j/dema.2015.48.issue-4/dema-2015-0037/dema-2015-0037.xml http://www.degruyter.com/dg/viewarticle.fullcontentlink:pdfeventlink/$002fj$002fdema.2015.48.issue-4$002fdema-2015-0037$002fdema-2015-0037.pdf?t:ac=j$002fdema.2015.48.issue-4$002fdema-2015-0037$002fdema-2015-0037.xml
e-ISSN	23914661
DOI	10.1515/dema-2015-0037
Journal	Demonstratio Mathematica
Issue Number	4
Volume Number	48
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2015-12-01
Access Restriction	Open
Subject Keyword	Demonstratio Mathematica Logic Weakly Idempotent Semilattice Weakly Idempotent Lattice Weakly Idempotent Bilattice Interlaced Operation Interlaced Weakly Idempotent Bilattice Hyperidentity Non-idempotent Plonka Function Weakly Plonka Sum Weakly Idempotent Quasilattice Journal: Demonstratio Mathematica, Vol- 48
Content Type	Text
Resource Type	Article

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in