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Titlebook: Baer *-Rings; Sterling K. Berberian Book 1972 Springer-Verlag Berlin Heidelberg 1972 16P60, 16W10, 46L10.Algebra.Baer *-rings.algebra.matr

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The Regular Ring of a Finite Baer ∗-RingThe present chapter is based on (Berberian, .).
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Additivity of Equivalence(.). such that (i) the ., are orthogonal, (ii) the . are orthogonal, and (iii) .∼. for all ı∈.. We write . Thus, ., (.). are equivalent partitions of ., . [§17, Def. 1]. For each ı∈., we denote by ., a fixed partial isometry such that ., ..
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Dimension in Finite Baer ∗-Ringsof . require different techniques and are treated separately. A salient feature of the exposition is that virtually all results are obtained without assuming the parallelogram law (P); it is only in the final section on modularity (Section 34) that (P) is invoked.
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https://doi.org/10.1007/978-3-476-05479-1llowing definition:. A ∗-. (or .) is a ring with an involution .↦.: . When . is also an algebra, over a field with involution .↦. (the identity involution is allowed), we assume further that . and call . a ∗-. {The complex ∗-algebras are especially important special cases, but the main emphasis of t
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