Geodesic
Automorphisms of the Semigroup of Nonnegative Invertible Matrices of Order Two over Partially Ordered Commutative Rings
Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 3-11

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In the paper, the automorphisms of the semigroup of nonnegative invertible matrices of order two over a partially ordered commutative ring with $2$ invertible are described.
Keywords: associative (commutative) ring with unit, nonnegative invertible matrix of order two, partially ordered commutative ring, subsemigroup, central homomorphism of semigroups, idempotent. 
@article{MZM_2012_91_1_a0,
     author = {E. I. Bunina},
     title = {Automorphisms of the {Semigroup} of {Nonnegative} {Invertible} {Matrices} of {Order} {Two} over {Partially} {Ordered} {Commutative} {Rings}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--11},
     publisher = {mathdoc},
     volume = {91},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a0/}
}
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E. I. Bunina. Automorphisms of the Semigroup of Nonnegative Invertible Matrices of Order Two over Partially Ordered Commutative Rings. Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a0/