Two notions of MV-algebraic semisimplicity relative to fixed MV-chains
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Non-Classical Logics"
DOI: 10.1080/11663081.2022.2123674
Abstract: We initiate a study of two general concepts of semisimplicity for MV-algebras by replacing the standard MV-algebra with an arbitrary MV-chain . These generalised notions are called -semisimple MV-algebras and -semisimple MV-algebras. We obtain several… read more here.
Keywords: relative fixed; two notions; algebraic semisimplicity; notions algebraic ... See more keywords
Semisimplicity and Indecomposable Objects in Interpolating Partition Categories
Sign Up to like & getrecommendations! Published in 2021 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnab217
Abstract: We study Karoubian tensor categories, which interpolate representation categories of families of the so-called easy quantum groups in the same sense in which Deligne’s interpolation categories $\ensuremath {\mathop {\textrm {\underline {Rep}}}}(S_t)$ interpolate the representation categories… read more here.
Keywords: partition categories; objects interpolating; interpolating partition; partition ... See more keywords