نتایج جستجو برای: commutative ring

تعداد نتایج: 132389  

Journal: :Pacific Journal of Mathematics 1966

Journal: :Transactions of the American Mathematical Society 1981

2015
M. BAZIAR

In this article, we give several generalizations of the concept of annihilating an ideal graph over a commutative ring with identity to modules. We observe that, over a commutative ring, R, AG∗(RM) is connected, and diamAG∗(RM) ≤ 3. Moreover, if AG∗(RM) contains a cycle, then grAG∗(RM) ≤ 4. Also for an R-module M with A∗(M) ̸= S(M) \ {0}, A∗(M) = ∅, if and only if M is a uniform module, and ann(...

Journal: :CoRR 2016
Yongsheng Tang Heqian Xu Zhonghua Sun

In this paper, we give a notation on the Singleton bounds for linear codes over a finite commutative quasi-Frobenius ring in the work of Shiromoto [5]. We show that there exists a class of finite commutative quasi-Frobenius rings. The Singleton bounds for linear codes over such rings satisfy d(C) − 1 A ≤ n− log|R| |C|. keywords : Linear codes, General weight, Quasi-Frobenius ring, Singleton bounds

2014
Kazuyoshi MORI

In this paper, we consider the factorization approach to control systems with plants admitting coprime factorizations. Further, the set of stable causal transfer functions is a general commutative ring. The objective of this paper is to present that even in the case where the set of stable causal transfer functions is a general commutative ring, the parametrization of stabilizing controllers is...

2005
TAKESHI MIURA

We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias stability of a Jordan homomorphism between Banach algebras. As a direct corollary, we show that to each approximate Jordan homomorphism f from a Banach algebra into a semisimple commutative...

2010
A K S CHANDRA SEKHAR RAO

In this paper we show that a commutative semisimple ring is always a Smarandache ring. We will also give a necessary and sufficient condition for group algebra to be a Smarandache ring. Examples are provided for justification.

Journal: :Proceedings of the American Mathematical Society 1959

Journal: :Pacific Journal of Mathematics 1974

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