CONSTRUCTION A CORING FROM TENSOR PRODUCT OF BIALGEBRA
DOI:
https://doi.org/10.21831/pg.v7i1.2837Abstract
In this Paper introduced a coring from tensor product of bialgebra. An algebra with compatible coalgebrastructure are known as bialgebra. For any bialgebra B we can obtained tensor product between B anditself. Defined a right and left B -action on the tensor product of bialgebra B such that we have tensorproduct of B and itself is a bimodule over B. In this note we expect that the tensor product B anditself becomes a B -coring with comultiplication and counit.Keywords : action, algebra, coalgebra, coring.References
Brzeziński, T., Majid, Sh. 1998, Coalgebra Bundles, Comm. Math. Phys, 191 : 467-492.
Brzeziński, T. 2001 The cohomology structure of an algebra entwined with coalgebra, Jurnal of Algebra 235 : 176-202.
Brzeziński, T., Wisbauer, R.2003 Coring and comodules, Germany.
Brzeziński, T. The Structures of Corings, Alg. Rep Theory, to appear.
Hungerford, T.W. 1978.Algebra, Graduate text in Mathematics,Springer-Verlag, Berlin.
Puspita, N. P.2009 Koring Lemah, Thesis, Gadjah Mada University, Yogyakarta.
Wisbauer, R.1991 Foundation of Module and Ring Theory, Gordon and Breach Science Publishers, Germany.
Wisbauer, R.,2001.Weak Coring,Jurnal of Algebra 245: 123 –160.
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Published
2015-01-28
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Prima Puspita, N., & Khabibah, S. (2015). CONSTRUCTION A CORING FROM TENSOR PRODUCT OF BIALGEBRA. PYTHAGORAS Jurnal Matematika Dan Pendidikan Matematika, 7(1). https://doi.org/10.21831/pg.v7i1.2837
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Pythagoras is licensed under a Creative Commons Attribution 4.0 International License.
Based on a work at http://journal.uny.ac.id/index.php/pythagoras.
