EP Elements in Rings and in Semigroups with Involution and in C*-algebras

Karanasios, Sotirios

Serdica Mathematical Journal (2015)

  • Volume: 41, Issue: 1, page 83-116
  • ISSN: 1310-6600

Abstract

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This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28, 16A32, 16B99,16W10; Secondary 46E25,46K05, 47A12, 47A68.

How to cite

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Karanasios, Sotirios. "EP Elements in Rings and in Semigroups with Involution and in C*-algebras." Serdica Mathematical Journal 41.1 (2015): 83-116. <http://eudml.org/doc/295044>.

@article{Karanasios2015,
abstract = {This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28, 16A32, 16B99,16W10; Secondary 46E25,46K05, 47A12, 47A68.},
author = {Karanasios, Sotirios},
journal = {Serdica Mathematical Journal},
keywords = {EP operator; EP element; involution; strong involution; semigroup with involution; ring with involution; regular ring; antiregular ring; *-regular ring; faithful ring; C*-algebra; group inverse; Drazin inverse; generalized inverse; Moore-Penrose inverse; regular element; antiregular element; polar element; quasipolar element; global star cancelation law; annihilator},
language = {eng},
number = {1},
pages = {83-116},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {EP Elements in Rings and in Semigroups with Involution and in C*-algebras},
url = {http://eudml.org/doc/295044},
volume = {41},
year = {2015},
}

TY - JOUR
AU - Karanasios, Sotirios
TI - EP Elements in Rings and in Semigroups with Involution and in C*-algebras
JO - Serdica Mathematical Journal
PY - 2015
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 41
IS - 1
SP - 83
EP - 116
AB - This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28, 16A32, 16B99,16W10; Secondary 46E25,46K05, 47A12, 47A68.
LA - eng
KW - EP operator; EP element; involution; strong involution; semigroup with involution; ring with involution; regular ring; antiregular ring; *-regular ring; faithful ring; C*-algebra; group inverse; Drazin inverse; generalized inverse; Moore-Penrose inverse; regular element; antiregular element; polar element; quasipolar element; global star cancelation law; annihilator
UR - http://eudml.org/doc/295044
ER -

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