Properties of core-EP order in rings with involution
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DOI: 10.1007/s11464-019-0782-8
Abstract: We study properties of a relation in *-rings, called the core-EP (pre)order which was introduced by H. Wang on the set of all n × n complex matrices [Linear Algebra Appl., 2016, 508: 289–300] and… read more here.
Keywords: order; core order; properties core; order rings ... See more keywords
Action of higher derivations on prime rings with involution
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DOI: 10.1515/gmj-2025-2012
Abstract: Abstract In this paper, we monitor the behavior of a prime ring with involution of second kind. Such rings are studied through the prism of higher derivations satisfying certain differential identities. Precisely, we prove that… read more here.
Keywords: rings involution; derivations prime; action higher; higher derivations ... See more keywords
Additive maps on prime and semiprime rings with involution
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DOI: 10.15672/hujms.661178
Abstract: Let $R$ be an associative ring. An additive map $x\mapsto x^*$ of $R$ into itself is called an involution if (i) $(xy)^*=y^*x^*$ and (ii) $(x^*)^*=x$ hold for all $x\in R$. The main purpose of this… read more here.
Keywords: involution; semiprime rings; maps prime; rings involution ... See more keywords