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Ideals and direct product of zero square rings
Satyanarayana Bhavanari,Goldoza Lungisile,Nagaraju Dasari 영남수학회 2008 East Asian mathematical journal Vol.24 No.4
We consider associative ring R (not necessarily commutative). In this paper the concepts: zero square ring of type-1/type-2, zero square ideal of type-1/type-2, zero square dimension of a ring R were introduced and obtained several important results. Finally, some relations between the zero square dimension of the direct sum of finite number of rings; and the sum of the zero square dimension of individual rings; were obtained. Necessary examples were provided.
Ultrathin titania coating for high-temperature stable SiO<sub>2</sub>/Pt nanocatalysts
Satyanarayana Reddy, A.,Kim, Sunmi,Young Jeong, Hu,Jin, Sookyoung,Qadir, Kamran,Jung, Kyoungmin,Ho Jung, Chan,Yeul Yun, Jung,Yeong Cheon, Jae,Yang, Jun-Mo,Hoon Joo, Sang,Terasaki, Osamu,Young Park, Je Royal Society of Chemistry 2011 Chemical communications Vol.47 No.29
<P>The facile synthesis of silica supported platinum nanoparticles with ultrathin titania coating to enhance metal–support interactions suitable for high temperature reactions is reported, as thermal and structure stability of metal nanoparticles is important for catalytic reactions.</P> <P>Graphic Abstract</P><P>Synthesis of supported platinum nanoparticles with ultrathin titania coating for high thermal stability and enhanced metal–support interactions is reported. <IMG SRC='http://pubs.rsc.org/services/images/RSCpubs.ePlatform.Service.FreeContent.ImageService.svc/ImageService/image/GA?id=c1cc12022k'> </P>
Linearly independent elements in $N$-groups with finite Goldie dimension
Satyanarayana Bhavanari,Syam Prasad Kuncham 대한수학회 2005 대한수학회보 Vol.42 No.3
The concepts linearly independent elements and {itu-linearly independent elements} in an N-group G where Nis a near-ring, were introduced and studied. A few importantresults in the theory of vector spaces were generalized to N-groups.
SOME RESULTS ON FUZZY COSETS AND HOMOMORPHISMS OF N-GROUPS
Satyanarayana, Bhavanari,Syam Prasad, Kuncaham,Venkata Pradeep Kumar, Tumurukora,Thota, Srinivas The Youngnam Mathematical Society Korea 2007 East Asian mathematical journal Vol.23 No.1
In this paper we consider the fuzzy ideals of N-group G where N is a nearring. We introduce fuzzy ideal ${\theta}_{\mu}$ of the quotient N-group $G/{\mu}$ with respect to a fuzzy ideal $\mu$ of G. If $\mu$ is a fuzzy ideal of G and $\theta$ a fuzzy ideal of $G/{\mu}$ such that ${\theta}_{\mu}\;{\subseteq}\;{\theta}$ and ${\theta}_{\mu}(0)\;=\;{\theta}(0)$, then corresponding ${\sigma}_{\theta}\;:\;G\;{\rightarrow}\;[0,\;1]$ is defined and proved that it is a fuzzy ideal of G such that ${\mu}\;{\subseteq}\;{\sigma}_{\theta}$ and ${\mu}(0)\;=\;{\sigma}_{\theta}(0)$. We also prove some results on homomorphisms and fuzzy ideals of N-groups. The image and preimage of fuzzy ideal $\mu$ under N-group homomorphism were studied. Finally it is obtained that if $f\;:\;G\;{\rightarrow}\;G^1$ is an epimorphism of N-groups, then there is an order preserving bijection between the fuzzy ideals of $G^1$ and the fuzzy ideals of G that are constant on kerf. Some examples related to these concepts were illustrated.
ON FUZZY DIMENSION OF N-GROUPS WITH DCC ON IDEALS
Bhavanari, Satyanarayana,Kuncham, Syam Prasad,Tumurukota, Venkata Pradeep Kumar The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
In this paper we consider the fuzzy ideals of N-group G where N is a near-ring. We introduce the concepts: minimal elements, fuzzy linearly independent elements, and fuzzy basis of an N-group G and obtained fundamental related results.
Lanka Satyanarayana,박진성,Guang Hu Jin,노효섭,Woon Young Lee 한국물리학회 2007 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.50 No.4
A series of bi-auxiliary solid state potentiometric CO2 sensors of type, O2, CO2, Li2CO3-SrCO3, Au | Li3PO4 | Au, Li2TiO3-TiO2, CO2, O2 were fabricated using Li2CO3-SrCO3 mixed carbonates (different mol%) as bi-auxiliary sensing electrodes, Li3PO4 mixed with SiO2 as a solid electrolyte and Li2TiO3 mixed with TiO2 as a reference electrode. The measured electromotive force (emf) of the sensors was found to be linear with the logarithm of CO2 partial pressure in the test range from 500 to 5000 ppm at 500 C working temperature. The sensors with 10 and 20 mol% SrCO3 showed not only a good Nernstian behavior but also a high emf value. The experimentally obtained emf/dec value for 10 mol% SrCO3 loaded Li2CO3 sensor was in close accord with the theoretical value, and a two-electron reaction (n = 2.22) of CO2 was obtained for various CO2 concentrations. The performance of the sensor was found to be highly stable in dry as well as humid atmospheres in the overall test range. A new phase containing Li4SiO4, Sr2SiO4 and Sr2P2O7 forming between the sensing electrode and the electrolyte interface is proposed as playing a significant role in the improved stability of the sensor against moisture.u?
LINEARLY INDEPENDENT ELEMENTS IN N-GROUPS WITH FINITE GOLDIE DIMENSION
BHAVANARI SATYANARAYANA,KUNCHAM SYAM PRASAD Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
The concepts linearly independent elements and u-linearly independent elements in an N-group G where N is a near-ring, were introduced and studied. A few important results in the theory of vector spaces were generalized to N-groups.