Geodesic
Partially ordered Baer involutive algebras
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 27 (1985), pp. 99-128.

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A survey is given of the basic results of the theory of $AW^*$-algebras, the properties of the rings of measurable and locally measurable operators associated with von Neumann algebras and $AW^*$-algebras are described, Baer *-algebras admitting partial orderings compatible with their algebraic structures are investigated. 
@article{INTD_1985_27_a3,
     author = {V. I. Chilin},
     title = {Partially ordered {Baer} involutive algebras},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {99--128},
     publisher = {mathdoc},
     volume = {27},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1985_27_a3/}
}
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V. I. Chilin. Partially ordered Baer involutive algebras. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 27 (1985), pp. 99-128. http://geodesic.mathdoc.fr/item/INTD_1985_27_a3/