Results 1 to 10 of about 24,660 (205)
Projectivity and flatness over the endomorphism ring of a finitely generated module [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Let A be a ring and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ.
S. Caenepeel, T. Guédénon
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QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS
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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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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Bi-clean and clean Hopf modules
AIMS Mathematics, 2022 Let $ R $ be a commutative ring with multiplicative identity, $ C $ a coassociative and counital $ R $-coalgebra, $ B $ an $ R $-bialgebra. A clean comodule is a generalization and dualization of a clean module.
Nikken Prima Puspita +1 more
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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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Involution on prime rings with endomorphisms
AIMS Mathematics, 2020 Let $\mathcal{R}$ be a prime ring with involution $'*'$ and $\psi: \mathcal{R} \rightarrow \mathcal{R}$ be an endomorphism on $\mathcal{R}$. In this article, we study the action of involution $'*',$ and the effect of endomorphism $\psi$ satisfying $[\psi(
Abdul Nadim Khan, Shakir Ali
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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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International Journal of Electronics and Telecommunications, 2018 We propose building a new PKC in a ring structure, the classification of rings being an open problem. The difficulty of the scheme is based on retrieving the eigenvalues of endomorphism on a finite type module over a non-commutative ring. It is resistant
Jean-François Geneste
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