Add to ORKGIf B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K}. The relationship between ideals (or submodules) of B and those of B(K) is examined carefully, and this construction is used to find a lattice-ordered subring of the ring C(R) of all continuous real-valued functions on the real line R with two z-ideals whose sum is not even semiprime
summary:In the present paper we give a duality between a special type of ideals of subalgebras of $C...
An R-module V over a semiring R lacks zero sums (LZS) if x + y = 0 implies x = y = 0. More generally...
Abstract. We characterize the z-ideals of the factor rings of C(X) via z-ideals of C(X). We show tha...
In this paper it is shown that there is a large class of f-rings in which the sum of any two semipri...
Abstract. A Γ-so-ring is a structure possessing a natural partial ordering, an infinitary partial ad...
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whene...
Krull [1929] introduced the concept of semiprime ideal. Accordingly, if R is a commu-tative ring wit...
We introduce the notion of z-ideal, which arises in a natural way in the study of the rings of real-...
We introduce the notion of z-ideal, which arises in a natural way in the study of the rings of real-...
The first few chapters of the dissertation will catalogue what is known regarding z-ideals in comm...
In this paper, we define z-ideals in bounded lattices. A separation theorem for the existence of pri...
In this paper, we introduce the notion of k-ideal, m−k ideal, prime ideal, maximal ideal, filter, ir...
AbstractThe ring-theoretical concept of semiprime ideal is appropriately defined for lattices. We pr...
Sudip Kumar Acharyya, Dibyendu De Abstract. In the present paper we give a duality between a special...
We investigate here a general type of regularity and a general type of semiprime ideal i.e., F-semip...
summary:In the present paper we give a duality between a special type of ideals of subalgebras of $C...
An R-module V over a semiring R lacks zero sums (LZS) if x + y = 0 implies x = y = 0. More generally...
Abstract. We characterize the z-ideals of the factor rings of C(X) via z-ideals of C(X). We show tha...
In this paper it is shown that there is a large class of f-rings in which the sum of any two semipri...
Abstract. A Γ-so-ring is a structure possessing a natural partial ordering, an infinitary partial ad...
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whene...
Krull [1929] introduced the concept of semiprime ideal. Accordingly, if R is a commu-tative ring wit...
We introduce the notion of z-ideal, which arises in a natural way in the study of the rings of real-...
We introduce the notion of z-ideal, which arises in a natural way in the study of the rings of real-...
The first few chapters of the dissertation will catalogue what is known regarding z-ideals in comm...
In this paper, we define z-ideals in bounded lattices. A separation theorem for the existence of pri...
In this paper, we introduce the notion of k-ideal, m−k ideal, prime ideal, maximal ideal, filter, ir...
AbstractThe ring-theoretical concept of semiprime ideal is appropriately defined for lattices. We pr...
Sudip Kumar Acharyya, Dibyendu De Abstract. In the present paper we give a duality between a special...
We investigate here a general type of regularity and a general type of semiprime ideal i.e., F-semip...
summary:In the present paper we give a duality between a special type of ideals of subalgebras of $C...
An R-module V over a semiring R lacks zero sums (LZS) if x + y = 0 implies x = y = 0. More generally...
Abstract. We characterize the z-ideals of the factor rings of C(X) via z-ideals of C(X). We show tha...