On varieties of MV-algebras with internal states
In [4,5] the authors introduced the variety SMV of MV-algebras with an internal operator, state MV-algebras. In [2,3] the authors gave a stronger version of state MV-algebras, called state-morphism MV-algebras. In this paper we continue the studies presented in [2,3] just looking at several proper s...
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Published in | International journal of approximate reasoning Vol. 51; no. 6; pp. 680 - 694 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier Inc
01.07.2010
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | In
[4,5] the authors introduced the variety
SMV
of MV-algebras with an internal operator, state MV-algebras. In
[2,3] the authors gave a stronger version of state MV-algebras, called state-morphism
MV-algebras. In this paper we continue the studies presented in
[2,3] just looking at several proper subvarieties of
SMV
, obtained by imposing suitable conditions on the behavior of the internal operator. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0888-613X 1873-4731 |
DOI: | 10.1016/j.ijar.2010.01.017 |