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| + | * [[KSS Nambooripad — Biography]] |
| − | {{Use Indian English|date=January 2013}}
| + | * Articles |
| − | {{Infobox scientist
| + | ** [[Cross-Connections]] |
| − | |name = K. S. S. Nambooripad
| + | * Books |
| − | |image = Kssn.jpg
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| − | |image_size = 150px
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| − | |caption =
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| − | |birth_date = 6 April 1935
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| − | |birth_place = Puttumanoor, [[Cochin]], [[India]]
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| − | |death_date =
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| − | |death_place =
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| − | |residence = [[Tripunithura]], [[Kerala]], [[India]]
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| − | |citizenship = [[India]]n [[File:Flag of India.svg|15px|]]
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| − | |nationality =
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| − | |ethnicity = [[Namboodiri]]
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| − | |fields = [[Mathematician]]
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| − | |workplaces = [[University of Kerala]]
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| − | |alma_mater = [[Maharajas College]], [[Ernakulam]]<br/> [[University of Kerala]]
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| − | |doctoral_advisor = M. R. Parameswaran <br> B. R. Srinivasan<br> Y. Sitaraman
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| − | |academic_advisors =
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| − | |doctoral_students =
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| − | |notable_students =
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| − | |known_for = Seminal contributions to the structure theory of [[regular semigroup]]s
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| − | |influences =
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| − | |influenced =
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| − | |awards =
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| − | |religion = [[Hindu]]
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| − | |signature = <!--(filename only)-->
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| − | |footnotes =
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| − | '''K.S.S.Nambooripad''' (born 1935) is an [[India]]n [[mathematician]] who has made fundamental contributions to the [[Mathematical structure|structure]] theory of [[regular semigroup]]s. Nambooripad was also instrumental in popularising the [[TeX]] software in India and also in introducing and championing the cause of the [[free software movement]] in India.
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| − | He was with the Department of Mathematics, [[University of Kerala]], since 1976. He served the Department as its Head from 1983 until his retirement from University service in 1995.
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| − | After retirement, he is associating with the academic and research activities of the Center for Mathematical Sciences, [[Thiruvananthapuram]] in various capacities.
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| − | ==Early years==
| + | [[Category:Mathematics]] |
| − | {{unreferenced section|date=February 2014}}
| + | [[Category:KSS Nambooripad]] |
| − | Nambooripad was born on 6 April 1935 in Puttumanoor near [[Cochin]] in central [[Kerala]]. He received traditional [[veda|vedic]] education up to the age of fifteen after which he joined a modern school offering formal education. He obtained the [[B.Sc.|B.Sc.(Hons)]] degree of [[University of Kerala]] from [[Maharajas College|Maharaja's College]], [[Ernakulam]], in 1956. He spent a few years teaching mathematics in some privately managed colleges before joining the newly started Department of Mathematics, University of Kerala, as a research scholar in mathematics in 1965. He was initially under the supervision of Prof. M. R. Parameswaran. An year later he came under the guidance of Prof. B. R. Srinivasan. About two years later, consequent on the departure of Prof. B. R. Srinivasan from University of Kerala, Nambooripad became a student of Prof. Y. Sitaraman. He was awarded the [[Ph D]] degree in 1974.
| + | [[Category:Semigroups]] |
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| − | ==Major contributions==
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| − | Nambooripad's basic contributions are in the structure theory of [[regular semigroup]]s. A [[semigroup]] is a [[Set (mathematics)|set]] ''S'' together with an [[associativity|associative]] [[binary operation]] in ''S''. A semigroup ''S'' is said to be regular if for every ''a'' in ''S'' there is an element ''b'' in ''S'' such that ''aba'' = ''a''. Nambooripad [[axiom]]atically characterised the structure of the set of [[idempotent]]s in a regular semigroup. He called a set having this structure a [[biordered set]]. "The axioms defining a biordered set are quite complicated. However, considering the general nature of semigroups, it is rather surprising that such a finite axiomatization is even possible."<ref name="putcha">{{cite book|last=Putcha|first=Mohan S|title=Linear algebraic monoids|publisher=Cambridge University Press|year=1988|series=London Mathematical Society Lecture Note Series|volume=133|pages=121–122|isbn=978-0-521-35809-5}}</ref> A full treatment of the theory was published as a single paper number of the Memoirs of American mathematical Society in 1979.
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| − | "In the mid 70's A. H. Clifford became very much excited by the work of Nambooripad on the structure of regular semigroups in terms of idempotent ordering and ''sandwich matrices'' and wrote several expository papers on Nambooripad structure theorem for regular semigroups".<ref>{{cite web|url=http://www-history.mcs.st-andrews.ac.uk/Biographies/Clifford_Alfred.html |title=Alfred Hoblitzelle Clifford|publisher=University of St Andrews, Scotland|accessdate=8 July 2009}}</ref>
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| − | He later developed an alternative approach to describe the structure of regular semigroups. This particular work utilizes the abstract theory of cross-connections to provide a useful framework for studying various classes of regular semigroups.<ref>Zentralblatt MATH Database 1931–2009 9 [http://zmath.impa.br/cgi-bin/zmen/ZMATH/en/help.html?first=1&maxdocs=3&bi=0389+20053&type=pdf&bi_op=contains&format=complete Zbl.0707.2001] (Accessed on 7 July 2009)</ref><ref>{{cite book|last=Nambooripad|first=K. S. S.|title=Structure of regular semigroups. II: Cross-connections|editor=A. M. Mathai|publisher=Centre for Mathematical Sciences, Trivandrum - 15, India|year=1989}}</ref>
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| − | ==As a {{TeX}} populariser==
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| − | {{TeX}} was introduced into Kerala by Nambooripad. After a visit to the United States in early 1990s, he brought the {{TeX}} programme to Kerala in fourteen floppy disks. Nambooripad encouraged his students to learn and use {{TeX}}, especially for preparing their theses. One of his students was E Krishnan, one of the authors of the {{LaTeX}} primer published as an electronic book by the Indian {{TeX}} User Group. Krishnan also played an important role in establishing the Free Software Foundation of India. Another person inspired by Nambooripad was CV Radhakrishnan who is running a company called River Valley Technologies since 1995 for typesetting of scientific journals and books.<ref>{{cite web|url=http://www.tug.org/interviews/interview-files/river-valley.html|title=Interview of Kaveh Bazargan and C V Radhakrishnan: Co-directors of River Valley Technologies|last=Walden|first=Dave |date=2006-06-28 |publisher={{TeX}} Users Group|accessdate=8 July 2009}}</ref>
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| − | Nambooripad was the prime catalyst for the formation of Indian {{TeX}} Users Group in 1998. He was the inaugural Chairman of the Group.<ref>{{cite journal|last=Rahtz|first=Sebastian|year=1998 |title=The inaugural meeting of TUG India|journal=TUGboat|volume=19 |issue=1|pages=9–11}} [http://www.tug.org/TUGboat/Articles/tb19-1/tb58raht.pdf]</ref>
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| − | ==See also==
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| − | * [http://en.wikipedia.org/wiki/Nambooripad_order Nambooripad order]
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| − | ==Selected publications==
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| − | #"Structure of regular semigroups - I". ''Memoirs of [[American Mathematical Society]]'', '''22''' (224). 1979.
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| − | #"The natural partial order on a regular semigroup". ''Proceedings of the [[Edinburgh Mathematical Society]]'' '''23''' : 249-260. 1980.
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| − | #(with F. Pastijn) "V-regular semigroup". ''Proceedings of [[Royal Society of Edinburgh]]'' '''88A''' : 275-291. 1981.
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| − | #(with F. Pastjin) "Regular involution semigroups". ''Semigroups Colloquia Mathematica Societatis [[János Bolyai]], Szeged (Hungary)'' : 199-256. 1981.
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| − | #(with J. C. Meakin) "Coextensions of regular semigroups by rectangular bands - I". ''Transactions of [[American Mathematical Society]]'' '''269''':197-224. 1982.
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| − | #(with J. C. Meakin) "Coextensions of regular semigroups by [[rectangular band]]s - II". ''Transactions of [[American Mathematical Society]]'' '''272''' : 555-568. 1982.
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| − | #"Structure of regular semigroups - II : Cross-connections". Publication No.15. Centre for Mathematical Sciences, [[Thiruvananthapuram]], [[India]]. 1989.
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| − | #"G-[[lattice (mathematics)|lattices]]{{disambiguation needed|date=May 2012}}". ''Proceedings of the [[Monash University|Monash]] Conference on Semigroup Theory in honour of G. B. Preston held in July 1990'' : 224-241. [[World Scientific|World Scientific Publishing Co.]] 1991.
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| − | #(with E. Krishnan) "The semigroup of [[Fredholm]] operators". ''Forum Mathematicum'' '''5''' : 313-368. 1993.
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| − | ==References==
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| − | {{reflist}}
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| − | {{Authority control|VIAF=164066773}}
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| − | {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| − | | NAME =Nambooripad, K. S. S.
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| − | | ALTERNATIVE NAMES =
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| − | | SHORT DESCRIPTION = Indian mathematician
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| − | | DATE OF BIRTH = 1935
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| − | | PLACE OF BIRTH =Puttumanoor, [[Cochin]], [[India]]
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| − | | DATE OF DEATH =
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| − | | PLACE OF DEATH =
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| − | }}
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| − | {{DEFAULTSORT:Nambooripad, K. S. S.}}
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| − | [[Category:20th-century mathematicians]] | |
| − | [[Category:Indian mathematicians]] | |
| − | [[Category:Malayali people]] | |
| − | [[Category:1935 births]]
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| − | [[Category:Living people]]
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| − | [[Category:University of Kerala faculty]]
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