Results 1 to 10 of about 32,136 (210)

GRADED I-PRIME SUBMODULES [PDF]

open access: yesJournal of Algebraic Systems, 2023
Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$.
I. Akray   +3 more
doaj   +1 more source

Ramification in quartic cyclic number fields $K$ generated by $x^4+px^2+p$ [PDF]

open access: yesMathematica Bohemica, 2021
If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prime of the form $4+n^2$, we give appropriate generators of $K$ to obtain the explicit factorization of the ideal $q{\mathcal O}_K$, where $q$ is a positive rational
Julio Pérez-Hernández   +1 more
doaj   +1 more source

Generalizations of prime submodules over non-commutative rings [PDF]

open access: yesJournal of Hyperstructures, 2023
Throughout this paper, R is an associative ring (not necessarily commutative) with identity and M is a right R-module with unitary. In this paper, we introduce a new concept of ∅-prime submodule over an associative ring with identity.
Emel Aslankarayigit Ugurlu
doaj   +1 more source

Quasi-semiprime Modules

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
    Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever   is a Prime Ideal For proper submodule N of  B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
doaj   +1 more source

Pre-image of functions in $C(L)$ [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2021
Let $C(L)$ be the ring of all continuous real functions on a frame $L$ and $S\subseteq{\mathbb R}$. An $\alpha\in C(L)$ is said to be an overlap of $S$, denoted by $\alpha\blacktriangleleft S$, whenever $u\cap S\subseteq v\cap S$ implies $\alpha(u)\leq ...
Ali Rezaei Aliabad, Morad Mahmoudi
doaj   +1 more source

Radicals of Generalized Prime Ideals in Ternary Semigroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon   +2 more
doaj   +1 more source

A Result on Prime Rings with Generalized Derivations

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
In this paper we investigate the following result. Let R be a prime ring, Q its symmetric Martindale quotient ring, C its extended centroid, I a nonzero ideal of R.
Shujat Faiza, Khan Shahoor
doaj   +1 more source

Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
doaj   +1 more source

Modular forms of half-integral weight on Γ0(4) with few nonvanishing coefficients modulo ℓ

open access: yesOpen Mathematics, 2022
Let kk be a nonnegative integer. Let KK be a number field and OK{{\mathcal{O}}}_{K} be the ring of integers of KK. Let ℓ≥5\ell \ge 5 be a prime and vv be a prime ideal of OK{{\mathcal{O}}}_{K} over ℓ\ell . Let ff be a modular form of weight k+12k+\frac{1}
Choi Dohoon, Lee Youngmin
doaj   +1 more source

On f - prime radical in ordered semigroups

open access: yesOpen Mathematics, 2018
In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
doaj   +1 more source

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