Results 61 to 70 of about 475 (152)
Coweakly Uniserial Modules and Rings Whose (2‐Generated) Modules Are Coweakly Uniserial
Journal of Mathematics, Volume 2025, Issue 1, 2025.A module is called weakly uniserial if for any two its submodules at least one of them is embedded in the other. This is a nontrivial generalization of uniserial modules and rings. Here, we introduce and study the dual of this concept. In fact, an R‐module M is called coweakly uniserial if for any submodules N, K of M, HomR(M/N, M/K) or HomR(M/K, M/N ...
M. M. Oladghobad +2 more
wiley +1 more source
Remarks on special ideals in lattices [PDF]
, 1994 summary:The author studies some characteristic properties of semiprime ideals. The semiprimeness is also used to characterize distributive and modular lattices. Prime ideals are described as the meet-irreducible semiprime ideals.
Beran, Ladislav
core
Smarandache Fuzzy Algebra [PDF]
, 2003 groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy +2 more
core +1 more source
A Unified Approach to Generalizing π‐Extending and π‐Baer Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper introduces and examines the right essentially π‐Baer ring property, which serves as a new extension of the π‐extending and π‐Baer ring conditions. The initial phase of the study involves the development of several foundational results. The subsequent phase of the study involves the exploration of the transfer of the right essentially π‐Baer ...
Yeliz Kara, Ali Jaballah
wiley +1 more source
On Rings of Weak Global Dimension at Most One
Mathematics, 2021 A ring R is of weak global dimension at most one if all submodules of flat R-modules are flat. A ring R is said to be arithmetical (resp., right distributive or left distributive) if the lattice of two-sided ideals (resp., right ideals or left ideals) of
Askar Tuganbaev
doaj +1 more source
A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
wiley +1 more source
Soft semihyperrings- an introduction [PDF]
Journal of Hyperstructures, 2012 The purpose of this paper is to introduce and study soft semihyperrings by giving importance both on attributes and functional value. In this paper the notions of soft semihyperring and its ideals are introduced and studied systematically.
D. Mandal, S. K. Sardar
doaj +1 more source
A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
wiley +1 more source
Sums of semiprime, 𝑧, and 𝑑𝑙-ideals in a class of 𝑓-rings
, 1990 In this paper it is shown that there is a large class of f f -rings in which the sum of any two semiprime l l -ideals is semiprime.
Suzanne Larson
core +1 more source
Modules With Epimorphisms Between Their Submodules
Journal of Mathematics, Volume 2025, Issue 1, 2025.An R‐module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomR(N, K) or HomR(K, N) contains an injective element. Here, we are interested in studying modules which for any two submodules of them there is an epimorphism from one to the other.
P. Karimi Beiranvand, Pramita Mishra
wiley +1 more source