Workshop

1. Concrete radicals of associative rings. The are many open problems in the area. Let us mention Koethe's nil ideal problem (is every one-sided nil ideal of an arbitrary ring contained in the nil radical of the ring), which was raised in 1930 and is one of the most famous open problems in Ring Theory. Recently some substantial progress related to this problem has been made. It is expected that the results obtained in this area will attract a lot of attention during the meeting. Another particular topic, which can be mentioned, concerns the behaviour of radicals under some ring constructions (e.g., matrix rings, polynomial rings, skew-polynomial rings, power series rings). Problems of that sort are of central importance in many studies in Ring Theory.
2. General theory of radicals and related structures. Some concrete radicals (prime, nil, locally nilpotent, Jacobson, Brown-McCoy and many other) play important role in studies of rings and algebras. Studies of their common and specific properties initiated General Theory of Radicals. This theory was extended to some related structures, e.g. near-rings, or even to some categories. During the workshop new results obtained in this area will be presented and related question discussed.
3. Applications of radicals in studies of associative rings and related structures. Radicals are applied in almost all studies of rings and other algebraic structures. It is expected that a meeting of algebraists who apply radicals in their studies with those who develop the theory of radicals will be fruitful and stimulating.

Programme

• R. Andruszkiewicz (Bialystok, Poland, randrusz@math.uwb.edu.pl),  Accessible Subrings and Kurosh’s Chains of Associative Rings,  [Abstract] , [Talk]
• C. Baginski (Bialystok, Poland, baginski@ii.pb.bialystok.pl)
• T.-H. Chen (Taiwan, chentsn@gmail.com), Extended Jacobson Density Theorem for Graded Rings with Derivations and Automorphisms, [Abstract]
• J. Cogiel (Warsaw, Poland, j.cogiel@mimuw.edu.pl)
• M. Filipowicz-Chomko (Bialystok, Poland, mfilipowicz@kki.net.pl), Radicals and Classes of Filial Algebras, [Abstract] [Talk]
• H. France-Jackson (Port Elizabeth, South Africa, cbf@easterncape.co.uk), On Supernilpotent Nonspecial Radicals,  [Abstract] [Talk]
• B.J. Gardner (Hobart, Australia, gardner@hilbert.maths.utas.edu.au), Kurosh-Amitsur Radicals of Groups: something for everyone? [Abstract], [Talk]
• N. Groenewald (Port Elizabeth, South Africa, Nico.Groenewald@nmmu.ac.za)
• P. Grzeszczuk (Bialystok, Poland, piotrgr@pb.bialystok.pl)
• M. Hryniewicka (Bialystok, Poland, margitt@math.uwb.edu.pl), On Radicals of Rings with Finite Group Actions,  [Abstract]
• M. Jastrzębska (Warsaw, Poland, jastrzebska@mimuw.edu.pl)
• A. Kashu (Kishinev, Moldavia, kashuai@math.md), Radicals and Principal Functors of Module Categories,  [Abstract]
• W.-F. Ke (Tainan, Taiwan, wfke@mail.ncku.edu.tw),  Are Polynomial Rings over Nil Rings Brown-McCoy Radical? [Abstract], [Talk]
• J. Krempa (Warsaw, Poland, jkrempa@mimuw.edu.pl), 
• I. Malinowska (Bialystok, Poland, izabelam@math.uwb.edu.pl), On some Classes of Fnite Groups, [Abstract] [Talk]
• L. Marki (Budapest, Hungary, marki@renyi.hu) ,  The Categorical Approach to General  Radical Theory - a survey,  [Abstract], [Talk]
• G. Marks (USA, marks@slu.edu), Radicals of Rings Contiguous with the Commutative,   [Abstract]
• J. Matczuk (Warsaw, Poland, jmatczuk@mimuw.edu.pl), Quasi-Duo Rings, [Abstract] , [Talk]
• R. Mazurek (Bialystok, Poland, mazurek@pb.bialystok.pl), Radicals of Right Chain Rings and of Their Generalizations, [Abstract]
• R. Mlitz (Vienna, Austria, r.mlitz@tuwien.ac.at), From Rings to Near-Rings - a baby step that turns out to be a giant one,  [Abstract]
• D. Niewieczerzal (Warsaw, Poland, dorotan@mimuw.edu.pl)
• J. Okninski (Warsaw, Poland, okninski@mimuw.edu.pl)
• R. Piszczatowski (Warszaw, Poland, rpiszczatowski@mimuw.edu.pl)
• V. Popa (Kishinev, Moldavia, vpopa@math.md), On Some Radicals of the Ring of Continuous Endomorphisms of LCA Groups, [Abstract]
• K. Pryszczepko (Bialystok, Poland, karolp@math.uwb.edu.pl), Radicals in Classifcation of Commutative Reduced Filial Rings,  [Abstract], [Talk]
• E.R. Puczylowski (Warsaw, Poland, edmundp@mimuw.edu.pl), On Atoms of the Lattice of Radicals of Associative Rings, [Abstract]
• A. Smoktunowicz (Edinburgh, Great Britain, A.Smoktunowicz@ed.ac.uk),  On Nil and Jacobson Radicals, [Abstract], [Talk]
• A. Stocka (Bialystok, Poland, stocka@math.uwb.edu.pl)
• A. Strojnowski (Warsaw, Poland, stroa@mimuw.edu.pl)
• S. Tumurbat (Ulan Bator, Mongolia, stumurbat@hotmail.com), On Some Radicals of Rings, 
• G. Wendt (Linz, Austria, wendt@algebra.uni-linz.ac.at), Pimitive Near-Rings,  [Abstract], [Talk]
• R. Wiegandt (Budapest, Hungary, wiegandt@renyi.hu), Talking on Radical Theory, [Abstract], [Talk]
• S. Veldsman (Oman, veldsman@squ.edu.om)
• M. Ziembowski (Edinburgh, Great Britain, m.ziembowski@wp.pl,), On Semilocal Rings of Skew Generalized Power Series, [Abstract]

Dates for the conference
     Sunday, August 2, 2009: Arrival Day
     Monday, August 3, 2009 morning to Friday, August 7 evening: Scientific Program
     Saturday, August 8, 2009: Departure Day


Abstract deadline
     July 20, 2009 (send in LaTex format to:  edmundp@mimuw.edu.pl)

Conference fee
     No conference fee will be asked.

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