Results 1 to 10 of about 1,334 (223)
QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS [PDF]
Barekeng, 2022 A seminear-ring is a generalization of ring. In ring theory, if is a ring with the multiplicative identity, then the endomorphism module is isomorphic to . Let be a seminear-ring.
Meryta Febrilian Fatimah +2 more
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New Class of S-Pseudo Bounded Modules With Some Related Concepts [version 3; peer review: 2 approved, 3 approved with reservations, 1 not approved] [PDF]
F1000ResearchIn the present study , every module M is unitary and every ring F is commutative with identity. We gave a definition of a new class F − module which is namely S-pseudo bounded module symbolically (S-PS.B.
Amal Madhi Rashid, Buthyna Najad Shihab
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Central Endomorphisms of Groups and Radical Rings [PDF]
Advances in Group Theory and Applications, 2023 An endomorphism γ of a group G is called a central endomorphism if x^-1 xγ lies into the centre Z(G) of G for each element x of G. It is easy to show that all non-zero central endomorphisms of G are automorphisms if and only if the ring R = Hom(G, Z(G ...
Alessio Russo, Mario Viscusi
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On weakened $(\alpha,\delta)$-skew Armendariz rings [PDF]
Mathematica Bohemica, 2022 In this note, for a ring endomorphism $\alpha$ and an $\alpha$-derivation $\delta$ of a ring $R$, the notion of weakened $(\alpha,\delta)$-skew Armendariz rings is introduced as a generalization of $\alpha$-rigid rings and weak Armendariz rings.
Alireza Majdabadi Farahani +3 more
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On skew power series over McCoy rings [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a ring with an endomorphism $\alpha$. A ring $R$ is a skew power series McCoy ring if whenever any non-zero power series $f(x)=\sum_{i=0}^{\infty}a_ix^i,g(x)=\sum_{j=0}^{\infty}b_jx^j\in R[[x;\alpha]]$ satisfy $f(x)g(x)=0$, then there ...
Masoome Zahiri, Saeide Zahiri
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The Baer–Kaplansky Theorem for all abelian groups and modules
Bulletin of Mathematical Sciences, 2022 It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
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Prime ideal on the end_Z (Z^n ) Ring
Al-Jabar, 2022 The set of all endomorphisms over -module is a non-empty set denoted by . From we can construct the ring of over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers.
Zakaria Bani Ikhtiyar +2 more
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Tilting preserves finite global dimension
Comptes Rendus. Mathématique, 2020 Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.
Keller, Bernhard, Krause, Henning
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Rings whose additive endomorphisms are ring endomorphisms [PDF]
Bulletin of the Australian Mathematical Society, 1990 A ring R is said to be an AE-ring if every additive endomorphism is a ring endomorphism. In this paper further steps are made toward solving Sullivan's Problem of characterising these rings. The classification of AE-rings with. R3 ≠ 0 is completed. Complete characterisations are given for AE-rings which are either: (i) subdirectly irreducible, (ii ...
Birkenmeier, Gary, Heatherly, Henry
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ON COHERENCE OF ENDOMORPHISM RINGS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractLet R be a ring and U a left R-module with S=End(RU). The aim of this paper is to characterize when S is coherent. We first show that a left R-module F is TU-flat if and only if HomR(U,F) is a flat left S-module. This removes the unnecessary hypothesis that U is Σ-quasiprojective from Proposition 2.7 of Gomez Pardo and Hernandez [‘Coherence of ...
Zhu, Hai-Yan, Ding, Nan-Qing
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