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ON MULTIPLICATION MODULES
"... Let R be a commutative ring with nonzero 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 nonzero identity. This paper is devoted to study some of properties of multiplication modules. A number results concerning multiplication modules are given.
On Multiplication Modules
"... Abstract. Let R be a commutative ring with identity and M be a unital Rmodule. Then M is called a multiplication module provided for every submodule 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 Rmodule. Then M is called a multiplication module provided for every submodule 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
, 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
, 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 ..."
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Cited by 18 (2 self)
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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
"... Abstract. The purpose of this paper is to investigate pure submodules of multiplication 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 ..."
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Cited by 3 (1 self)
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Abstract. The purpose of this paper is to investigate pure submodules of multiplication 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
 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. ACTR (Anderson & Lebiere, 1998) has evolved into a theory that consists of multiple modules but also explain ..."
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Cited by 780 (73 self)
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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. ACTR (Anderson & Lebiere, 1998) has evolved into a theory that consists of multiple modules but also
Prime Submodules in Multiplication Modules
"... An example of a ring R and a multiplication Rmodule 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 Rmodule 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
 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 ..."
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Cited by 3 (0 self)
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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
Gradientbased learning applied to document recognition
 Proceedings of the IEEE
, 1998
"... Multilayer neural networks trained with the backpropagation algorithm constitute the best example of a successful gradientbased learning technique. Given an appropriate network architecture, gradientbased learning algorithms can be used to synthesize a complex decision surface that can classify hi ..."
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Cited by 1533 (84 self)
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to deal with the variability of two dimensional (2D) shapes, are shown to outperform all other techniques. Reallife 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
"... Abstract. Let R be a commutative ring with nonzero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication Rmodule (see [8], [12] and [3]). 1. ..."
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Cited by 1 (0 self)
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Abstract. Let R be a commutative ring with nonzero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication Rmodule (see [8], [12] and [3]). 1.
Results 1  10
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