Results 131 to 140 of about 474 (163)

Semiprime Ideals and Separation Theorems for Posets

Order, 2008
Let \(P\) be a poset and let \(A\) be a subset of \(P\). Define \(A^{u}:=\{x\in P : x\geq a \text{ for every } a\in A\}\). Dually define \(A^{l}:=\{x\in P : x\leq a \text{ for every } a\in A\}\). Then \(A^{ul}\) means \(\{A^{u}\}^l\) and \(A^{lu}\) means \(\{A^{l}\}^u\). A subset \(I\) of \(P\) is called an ideal if \(a,b\in I\) implies that \(\{a,b\}^{
Vilas S. Kharat, Khalid A. Mokbel
exaly   +3 more sources

Ideal-Symmetric and Semiprime Rings

Communications in Algebra, 2013
Lambek extended the usual commutative ideal theory to ideals in noncommutative rings, calling an ideal A of a ring R symmetric if rst ∈ A implies rts ∈ A for r, s, t ∈ R. R is usually called symmetric if 0 is a symmetric ideal. This naturally gives rise to extending the study of symmetric ring property to the lattice of ideals.
VÍCTOR Camillo, Tai Keun Kwak, Yang Lee   +2 more
exaly   +2 more sources

Fuzzy semiprime ideals in semigroups

Fuzzy Sets and Systems, 1982
Abstract In this paper we shall introduce the notion of fuzzy semiprimality in a semigroup, which is an extension of semiprimality in it, and characterize a semigroup that is a semilattice of simple semigroups in terms of fuzzy semiprimality.
Nobuaki Kuroki
exaly   +2 more sources

Vague semiprime ideals of a $$\Gamma $$ Γ -semiring

Afrika Matematika, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y Bhargavi, T Eswarlal
exaly   +3 more sources

A note on L-fuzzy primary and semiprime ideals

Fuzzy Sets and Systems, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M M Zahedi
exaly   +2 more sources

On weakly semiprime ideals of commutative rings

Beitrage Zur Algebra Und Geometrie, 2016
The author introduces and investigates some properties of weakly semiprime ideals of a commutative unital ring \(R\), defined as follows: a proper ideal \(I\) of \(R\) is called \textit{weakly semiprime} if whenever \(a\in R\) and \(0\neq a^2\in I\) then \(a\in I\).
Ayman Badawi
exaly   +2 more sources

Some Identities Related to Semiprime Ideal of Rings with Multiplicative Generalized Derivations

Axioms
This paper investigates the relationship between the commutativity of rings and the properties of their multiplicative generalized derivations. Let F be a ring with a semiprime ideal Π. A map ϕ:F→F is classified as a multiplicative generalized derivation
Ali Yahya Hummdi, Emine Koc Sogutcu, Nadeem Ur Rehman   +2 more
exaly   +2 more sources

On prime and semiprime ideals of \(\Gamma\)-semihyperrings

2021
Summary: The \(\Gamma\)-semihyperring is a generalization of the concepts of a semiring, a semihyperring and a \(\Gamma\)-semiring. In this paper, the notions of completely prime ideals and prime radicals for \(\Gamma\)-semihyperring are introduced and studied some important properties accordingly.
Patil, J., Pawar, K.
openaire   +2 more sources

k-prime and k-semiprime ideals of semirings

Asian-European Journal of Mathematics, 2020
In this paper, we study the notions of [Formula: see text]-prime and [Formula: see text]-semiprime ideals of semirings, [Formula: see text]-[Formula: see text]-system and [Formula: see text]-[Formula: see text]-system. We produce some properties and characterizations for [Formula: see text]-prime and [Formula: see text]-semiprime ideals of semirings ...
S. Purkait, T. K. Dutta, S. Kar
openaire   +1 more source

Fuzzy semiprime quasi-ideals in semigroups

Information Sciences, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources