Abstract. Let R be a semiring, I a strong co-ideal of R and S(I) the set of all elements of R which are not prime to I. In this paper we investigate some interesting properties of S(I) and introduce the total identity-summand graph of a semiring R with respect to a co-ideal I. It is the graph with all elements of R as vertices and for distinct x, y ∈ R, the vertices x and y are adjacent if and only if xy ∈ S(I). 1
Let K n be a complete graph on n vertices. Denote by S K n the set of all subgraphs of...
AbstractLet R be a commutative ring R with 1. In [P.K. Sharma, S.M. Bhatwadekar, A note on graphical...
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S...
Abstract. Let R be an I-semiring and S(R) be the set of all identity-summand elements of R. In this ...
summary:Let $I$ be a strong co-ideal of a commutative semiring $R$ with identity. Let $\Gamma_{I} (R...
summary:Let $R$ be a commutative semiring with non-zero identity. In this paper, we introduce and st...
summary:Let $R$ be a commutative semiring with non-zero identity. In this paper, we introduce and st...
summary:Let $I$ be a strong co-ideal of a commutative semiring $R$ with identity. Let $\Gamma_{I} (R...
summary:Let $I$ be a strong co-ideal of a commutative semiring $R$ with identity. Let $\Gamma_{I} (R...
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and...
WOS:000849400100002Let R be a commutative ring with identity. The prime ideal sum graph of R, denote...
Abstract. In a manner analogous to a commutative ring, the ideal-based zero-divisor graph of a commu...
AbstractLet R be a commutative ring with Nil(R) its ideal of nilpotent elements, Z(R) its set of zer...
The rings considered in this article are commutative with identity which admit at least two maximal ...
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
Let K n be a complete graph on n vertices. Denote by S K n the set of all subgraphs of...
AbstractLet R be a commutative ring R with 1. In [P.K. Sharma, S.M. Bhatwadekar, A note on graphical...
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S...
Abstract. Let R be an I-semiring and S(R) be the set of all identity-summand elements of R. In this ...
summary:Let $I$ be a strong co-ideal of a commutative semiring $R$ with identity. Let $\Gamma_{I} (R...
summary:Let $R$ be a commutative semiring with non-zero identity. In this paper, we introduce and st...
summary:Let $R$ be a commutative semiring with non-zero identity. In this paper, we introduce and st...
summary:Let $I$ be a strong co-ideal of a commutative semiring $R$ with identity. Let $\Gamma_{I} (R...
summary:Let $I$ be a strong co-ideal of a commutative semiring $R$ with identity. Let $\Gamma_{I} (R...
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and...
WOS:000849400100002Let R be a commutative ring with identity. The prime ideal sum graph of R, denote...
Abstract. In a manner analogous to a commutative ring, the ideal-based zero-divisor graph of a commu...
AbstractLet R be a commutative ring with Nil(R) its ideal of nilpotent elements, Z(R) its set of zer...
The rings considered in this article are commutative with identity which admit at least two maximal ...
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ...
Let K n be a complete graph on n vertices. Denote by S K n the set of all subgraphs of...
AbstractLet R be a commutative ring R with 1. In [P.K. Sharma, S.M. Bhatwadekar, A note on graphical...
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S...