Extension of Endomorphisms of the Subsemigroup GE 2 + ( R ) to Endomorphisms of GE 2 + ( R [ x ]), Where R is a Partially-Ordered Commutative Ring Without Zero Divisors

Verfasser / Beitragende:
[O. Tsarkov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/6(2015-05-01), 711-733
Format:
Artikel (online)
ID: 605524165
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024 7 0 |a 10.1007/s10958-015-2348-y  |2 doi 
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100 1 |a Tsarkov  |D O.  |u Moscow State University, Moscow, Russia  |4 aut 
245 1 0 |a Extension of Endomorphisms of the Subsemigroup GE 2 + ( R ) to Endomorphisms of GE 2 + ( R [ x ]), Where R is a Partially-Ordered Commutative Ring Without Zero Divisors  |h [Elektronische Daten]  |c [O. Tsarkov] 
520 3 |a Let R be a partially ordered commutative ring without zero divisors, G n (R) be the subsemigroup of GL n (R) consisting of matrices with nonnegative elements, and GE n + (R) be its subsemigroup generated by elementary transformation matrices, diagonal matrices, and permutation matrices. In this paper, we describe in which cases endomorphisms of GE 2 + (R) can be extended to endomorphisms of GE 2 + (R[x]). 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Tsarkov  |D O.  |u Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/6(2015-05-01), 711-733  |x 1072-3374  |q 206:6<711  |1 2015  |2 206  |o 10958