Thông tin tài liệu
Nhan đề : | On the group of unit-valued polynomial functions |
Tác giả : | Amr Ali, Al-Maktry |
Năm xuất bản : | 2021 |
Nhà xuất bản : | Springer |
Tóm tắt : | Let R be a finite commutative ring. The set F(R) of polynomial functions on R is a finite commutative ring with pointwise operations. Its group of units F(R)× is just the set of all unit-valued polynomial functions. We investigate polynomial permutations on R[x]/(x2)=R[α], the ring of dual numbers over R, and show that the group PR(R[α]) , consisting of those polynomial permutations of R[α] represented by polynomials in R[x], is embedded in a semidirect product of F(R)× by the group P(R) of polynomial permutations on R. In particular, when R=Fq , we prove that PFq(Fq[α])≅P(Fq)⋉θF(Fq)×. Furthermore, we count unit-valued polynomial functions on the ring of integers modulo pn and obtain canonical representations for these functions. |
Mô tả: | CC BY |
URI: | https://link.springer.com/article/10.1007/s00200-021-00510-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/8312 |
Bộ sưu tập | OER - Công nghệ thông tin |
XEM MÔ TẢ
26
XEM TOÀN VĂN
1
Danh sách tệp tin đính kèm: