| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,731,461 |
| تعداد دریافت فایل اصل مقاله | 17,563,671 |
On algebraic geometry over completely simple semigroups | ||
| International Journal of Group Theory | ||
| مقاله 6، دوره 8، شماره 2، شهریور 2019، صفحه 1-10 اصل مقاله (206.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21975 | ||
| نویسنده | ||
| Artem N. Shevlyakov* | ||
| Sobolev Institute of Mathematics | ||
| چکیده | ||
| We study equations over completely simple semigroups and describe the coordinate semigroups of irreducible algebraic sets for such semigroups. | ||
| کلیدواژهها | ||
| system of equations؛ coordinate semigroups؛ universal algebraic geometry | ||
| مراجع | ||
|
[1] G. Baumslag, A. Miasnikov and V. N. Remeslennikov, Algebraic geometry over groups, Trends in Math. , Int. Conf. Algorithmic problems in groups and semigroups (Lincoln, NE, May 1116, 1998), Birkhauser Boston, Boston, MA (2000) 35{50. [2] A. H. Clifford, The free completely regular semigroup on a set, J. Algebra , 59 (1979) 434{451. [3] A. H. Clifford and G. B. Preston, The algebraic theory of semigroups I, Providence, Amer. Math. Soc. , (1961). [4] E. Daniyarova, A. Miasnikov and V. Remeslennikov, Unication theorems in algebraic geometry, Algebra Discrete Math. , 1 (2008) 80{111. [5] E. Daniyarova, A. Miasnikov and V. Remeslennikov, Algebraic geometry over algebraic structures I I: Fundations, J. Math. Sci. , 185 (2012) 389{416. [6] T. Harju, J. Karhumaki and M. Petrich, Compactness of systems of equations on completely regular semigroups , Structures in Logic and Computer Science, Lecture Notes in Comput. Sci., 1261, Springer, Berlin, 1997 268{280. [7] P. R. Jones, Completely simple semigroups: free pro ducts, free semigroups and varieties, Proc. Roy. Soc. Edinburgh Sect. A , 88 (1981) 293{313. [8] A. Myasnikov and V. Remeslennikov, Algebraic geometry over groups I I: Logical foundations, J. Algebra , 234 (2000) 225{276. [9] V. V. Rasin, Free completely simple semigroups, (Russian), Matem. Zapiski (Sverd lovsk) , (1979) 140{151. [10] V. V. Rasin, On the lattice of varieties of completely simple semigroups, Semigroup Forum , 17 (1979) 113{122 | ||
|
آمار تعداد مشاهده مقاله: 735 تعداد دریافت فایل اصل مقاله: 696 |
||