I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2013, VOLUME 18, NUMBER 4, PAGES 155-
Extension of endomorphisms of the subsemigroup
is a partially-ordered commutative
ring without zero divisors
O. I. Tsarkov
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a partially ordered commutative ring without zero divisors,
consisting of matrices with nonnegative elements, and
be its subsemigroup generated by elementary transformation matrices,
diagonal matrices, and permutation matrices.
In this paper, we describe in which cases endomorphisms of
can be extended to endomorphisms of .
Last modified: May 13, 2014