Skew Category Algebras
Sign Up to like & getrecommendations! Published in 2020 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-019-00415-6
Abstract: We study a new (large) class of algebras (that was introduced in Bavula in Math Comput Sci 11(3–4):253–268, 2017)—the skew category algebras . Any such an algebra $$ \mathcal{C}(\sigma )$$ C ( σ ) is… read more here.
Keywords: category; category algebras; skew category; sigma ... See more keywords
Sufficient and necessary conditions for hereditarity of infinite category algebras
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2022.03.020
Abstract: We describe necessary and sufficient conditions for the hereditarity of the category algebra of an infinite EI category satisfying certain combinatorial assumptions. More generally, we discuss conditions such that the left global dimension of a… read more here.
Keywords: conditions hereditarity; infinite category; category algebras; sufficient necessary ... See more keywords
Category Algebras and States on Categories
Sign Up to like & getrecommendations! Published in 2021 at "Symmetry"
DOI: 10.3390/sym13071172
Abstract: The purpose of this paper is to build a new bridge between category theory and a 1 generalized probability theory known as noncommutative probability or quantum probability, 2 which was originated as a mathematical framework… read more here.
Keywords: category; probability; theory; algebras states ... See more keywords