Rings with polynomial identity and centrally essential rings
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It is proved that for any prime integer p and each field F of characteristic p, there exists a centrally essential F-algebra which is not a PI-ring and is not algebraic over its center.
KeywordsCentrally essential ring PI ring Ring algebraic over its center Ring integral over its center
Mathematics Subject Classification16R99 16D10
The authors are sincerely grateful to the reviewer for valuable comments and suggestions.