State-morphism algebras - General approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33146291" target="_blank" >RIV/61989592:15310/13:33146291 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2012.08.013" target="_blank" >http://dx.doi.org/10.1016/j.fss.2012.08.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2012.08.013" target="_blank" >10.1016/j.fss.2012.08.013</a>

Result language
angličtina
Original language name
State-morphism algebras - General approach
Original language description
We present a complete description of subdirectly irreducible state BL-algebras as well as of subdirectly irreducible state-morphism BL-algebras. In addition, we present a general theory of state-morphism algebras, that is, algebras of general type with state-morphism which is a fixed idempotent endomorphism. We define a diagonal state-morphism algebra and we show that every subdirectly irreducible state-morphism algebra can be embedded into a diagonal one. We describe generators of the varieties of state-morphism algebras, in particular generators of state-morphism BL-algebras, state-morphism MTL-algebras, state-morphism non-associative BL-algebras, and state-morphism pseudo MV-algebras.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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