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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 43, No. 2, pp. 423-432 (2002)
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On Subdirect Decomposition and Varieties of Some Rings with Involution

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Sinisa Crvenkovic, Igor Dolinka, Milovan Vincic

Institute of Mathematics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovica 4, 21000 Novi Sad, Yugoslavia, e-mail: sima@eunet.yu, e-mail: dockie@unsim.ns.ac.yu; Department of Mathematics, Faculty of Mechanical Engineering, University of Banja Luka, Danka Mitrova 10, 78000 Banja Luka, Bosnia and Herzegovina

**Abstract:** We give a complete description of subdirectly irreducible rings with involution satisfying $x^{n+1}=x$ for some positive integer $n$. We also discuss ways to apply this result for constructing lattices of varieties of rings with involution obeying an identity of the given type.

**Keywords:** ring with involution, field, subdirectly irreducible, variety

**Classification (MSC2000):** 16W10, 08B26, 08B15

**Full text of the article:**

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