Divisibility properties of the r-Bell numbers and polynomials
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.01.022
Abstract: In the present article we extend several arithmetical results to a family of generalized Bell numbers called r-Bell numbers. In particular, we generalize some congruences such as Touchard's congruence, Sun–Zagier congruence for Bell and derangement… read more here.
Keywords: properties bell; divisibility properties; bell numbers; numbers polynomials ... See more keywords
Divisibility Properties of the Semiring of Ideals of an Integral Domain
Sign Up to like & getrecommendations! Published in 2020 at "Algebra Colloquium"
DOI: 10.1142/s1005386720000309
Abstract: Let D be an integral domain, F+(D) (resp., f+(D)) be the set of nonzero (resp., nonzero finitely generated) ideals of D, R1 = f+(D) ∪ {(0)}, and R2 = F+(D) ∪ {(0)}. Then (Ri, ⊕,… read more here.
Keywords: properties semiring; integral domain; ideals integral; divisibility properties ... See more keywords