Archive:: Pure and Applied Mathematics Journal:: Science Publishing Group

Volume 3, Issue 3, June 2014

Stairs of Natural Set Theories

Maydim A. Malkov

Issue: Volume 3, Issue 3, June 2014

Pages: 49-65

Received: 15 May 2014

Accepted: 3 June 2014

Published: 10 June 2014

DOI: 10.11648/j.pamj.20140303.11

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Abstract: All contemporary set theories have intersected classes. We have built the stairs of set theories with disjoint classes. We call such theories natural. We numerate these theories by ordinals. The first set theory is T_0. We build the theory from the set N of natural numbers by using the operations of direct products and of power set by finite times.... Show More

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A Note on Localization of Supplemented Modules

Esra Öztürk, Şenol Eren

Issue: Volume 3, Issue 3, June 2014

Pages: 66-69

Received: 4 March 2014

Accepted: 27 June 2014

Published: 10 July 2014

DOI: 10.11648/j.pamj.20140303.12

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Abstract: In this paper we study on commutative rings with identity and all modules are unital left R-modules unless otherwise stated. We define the concept of small submodules for localization modules and additionally, we present the relation between an R-module M and an R_p-localization module M_p for all maximal ideals of R in view of being supplemented.

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On Expressive Construction of Solitons from Physiological Wave Phenomena

Nzerem Francis Egenti

Issue: Volume 3, Issue 3, June 2014

Pages: 70-77

Received: 29 May 2014

Accepted: 30 June 2014

Published: 20 July 2014

DOI: 10.11648/j.pamj.20140303.13

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Abstract: Physiological waves, much like the waves of some other physical phenomena, consist of non-linear and dispersive terms. In studies involving patho-physiology, models on arterial pulse waves indicate that the waveforms behave like solitons. The Korteweg-deVrie (KdV) equation, which is known to admit soliton solutions, is seen to hold well for arteria... Show More

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