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ON MULTIPLICATION MODULES

by S. Ebrahimi Atani, S. Khojasteh, G. Ghaleh
"... Let R be a commutative ring with non-zero identity. This paper is devoted to study some of properties of multiplication modules. A number results concerning multiplication modules are given. ..."
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Let R be a commutative ring with non-zero identity. This paper is devoted to study some of properties of multiplication modules. A number results concerning multiplication modules are given.

On Multiplication Modules

by unknown authors
"... Abstract. Let R be a commutative ring with identity and M be a unital R-module. Then M is called a multiplication module provided for every sub-module N ofM there exists an ideal I of R such that N = IM. Our objective is to investigate properties of prime and semiprime submodules of multiplication m ..."
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Abstract. Let R be a commutative ring with identity and M be a unital R-module. Then M is called a multiplication module provided for every sub-module N ofM there exists an ideal I of R such that N = IM. Our objective is to investigate properties of prime and semiprime submodules of multiplication

Comaximal Submodules of Multiplication Modules

by Saeed Rajaee , 2010
"... Let M be a multiplication module over a commutative ring R. In this paper we investigate some results on prime comaximal submodules of a prime multiplication module M. ..."
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Let M be a multiplication module over a commutative ring R. In this paper we investigate some results on prime comaximal submodules of a prime multiplication module M.

ON THE PRIME SUBMODULES OF MULTIPLICATION MODULES

by Reza Ameri , 2003
"... By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module. Finally, we state and prove a version of Nakaya ..."
Abstract - Cited by 18 (2 self) - Add to MetaCart
By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module. Finally, we state and prove a version

Pure Submodules of Multiplication Modules

by Majid M. Ali, David J. Smith
"... Abstract. The purpose of this paper is to investigate pure submodules of multipli-cation modules. We introduce the concept of idempotent submodule generalizing idempotent ideal. We show that a submodule of a multiplication module with pure annihilator is pure if and only if it is multiplication and ..."
Abstract - Cited by 3 (1 self) - Add to MetaCart
Abstract. The purpose of this paper is to investigate pure submodules of multipli-cation modules. We introduce the concept of idempotent submodule generalizing idempotent ideal. We show that a submodule of a multiplication module with pure annihilator is pure if and only if it is multiplication

An integrated theory of the mind

by John R. Anderson, Daniel Bothell, Michael D. Byrne, Scott Douglass, Christian Lebiere, Yulin Qin - PSYCHOLOGICAL REVIEW , 2004
"... There has been a proliferation of proposed mental modules in an attempt to account for different cognitive functions but so far there has been no successful account of their integration. ACT-R (Anderson & Lebiere, 1998) has evolved into a theory that consists of multiple modules but also explain ..."
Abstract - Cited by 780 (73 self) - Add to MetaCart
There has been a proliferation of proposed mental modules in an attempt to account for different cognitive functions but so far there has been no successful account of their integration. ACT-R (Anderson & Lebiere, 1998) has evolved into a theory that consists of multiple modules but also

Prime Submodules in Multiplication Modules

by Atul Gaur, Alok Kumar Maloo
"... An example of a ring R and a multiplication R-module M is given such that every prime submodule of M is cyclic but M is not. Some sufficient conditions for a multiplication module to be cyclic have also been given. ..."
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An example of a ring R and a multiplication R-module M is given such that every prime submodule of M is cyclic but M is not. Some sufficient conditions for a multiplication module to be cyclic have also been given.

Invertiblity of multiplication modules

by Majid M Ali - II, New Zealand J. Math
"... Abstract. All rings are commutative with identity and all modules are unital. We give several properties of invertible submodules of multiplication modules generalizing those of invertible ideals. We give characterizations of faithful multiplication Dedekind modules and derive a number of their pro ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
Abstract. All rings are commutative with identity and all modules are unital. We give several properties of invertible submodules of multiplication modules generalizing those of invertible ideals. We give characterizations of faithful multiplication Dedekind modules and derive a number

Gradient-based learning applied to document recognition

by Yann Lecun, Léon Bottou, Yoshua Bengio, Patrick Haffner - Proceedings of the IEEE , 1998
"... Multilayer neural networks trained with the back-propagation algorithm constitute the best example of a successful gradientbased learning technique. Given an appropriate network architecture, gradient-based learning algorithms can be used to synthesize a complex decision surface that can classify hi ..."
Abstract - Cited by 1533 (84 self) - Add to MetaCart
to deal with the variability of two dimensional (2-D) shapes, are shown to outperform all other techniques. Real-life document recognition systems are composed of multiple modules including field extraction, segmentation, recognition, and language modeling. A new learning paradigm, called graph

MULTIPLICATION MODULES AND RELATED RESULTS

by Shahabaddin Ebrahimi Atani
"... Abstract. Let R be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication R-module (see [8], [12] and [3]). 1. ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstract. Let R be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication R-module (see [8], [12] and [3]). 1.
Results 1 - 10 of 11,534