نوع مقاله : مقاله پژوهشی
نویسندگان
Yasouj University
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
For an R-module M and f ∈ M∗ = Hom(M, R), let Zf(M) and Regf(M)
be the sets of all zero-divisors elements and regular elements of M with re-
spect to f, respectively. In this paper, we introduce the total graph of M with
respect to f, denoted by T(Γf(M)), which is the graph with all the elements
M as vertices, and for distinct elements m, n ∈ M, m and n are adjacent
and only if m + n ∈ Zf(M). We also study the subgraphs Z(Γf(M)) and
Reg(Γf(M)) with vertices Zf(M) and Regf(M), respectively.
کلیدواژهها [English]
)