Results 131 to 140 of about 475 (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.
Tai Keun Kwak, VÍCTOR Camillo
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.
T Eswarlal, Y Bhargavi
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 [PDF]

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
Emine Koc Sogutcu, Nadeem Ur Rehman, Ali Hummdi   +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

STRONGLY SEMIPRIME AND STRONGLY NILPOTENT IDEALS

JP Journal of Algebra, Number Theory and Applications, 2016
In the paper under review, the author introduces the notion of ``strongly semiprime ideals'' and it is shown that an ideal is a strongly semi prime ideal if and only if it is intersection of strongly prime ideals.
openaire   +1 more source