Some Questions about products of verbally prime T-ideals

Berele, Allan

Serdica Mathematical Journal (2012)

  • Volume: 38, Issue: 1-3, page 69-78
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: 16R10.In [1] we studied identities of finite dimensional incidence algebras and showed how they were gotten by products and intersections of identities of matrices and we left open the question of when two incidence algebras satisfy the same identities, a problem which is still open. In the current paper we re-visit this problem: We describe it, give some partial results and some related problems based on the work of Kemer.* Support by DePaul University Faculty Research Council gratefully acknowledged.

How to cite

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Berele, Allan. "Some Questions about products of verbally prime T-ideals." Serdica Mathematical Journal 38.1-3 (2012): 69-78. <http://eudml.org/doc/288271>.

@article{Berele2012,
abstract = {2010 Mathematics Subject Classification: 16R10.In [1] we studied identities of finite dimensional incidence algebras and showed how they were gotten by products and intersections of identities of matrices and we left open the question of when two incidence algebras satisfy the same identities, a problem which is still open. In the current paper we re-visit this problem: We describe it, give some partial results and some related problems based on the work of Kemer.* Support by DePaul University Faculty Research Council gratefully acknowledged.},
author = {Berele, Allan},
journal = {Serdica Mathematical Journal},
keywords = {Incidence Algebras; Polynomial Identities; Verbally Prime T-ideals},
language = {eng},
number = {1-3},
pages = {69-78},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Some Questions about products of verbally prime T-ideals},
url = {http://eudml.org/doc/288271},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Berele, Allan
TI - Some Questions about products of verbally prime T-ideals
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 69
EP - 78
AB - 2010 Mathematics Subject Classification: 16R10.In [1] we studied identities of finite dimensional incidence algebras and showed how they were gotten by products and intersections of identities of matrices and we left open the question of when two incidence algebras satisfy the same identities, a problem which is still open. In the current paper we re-visit this problem: We describe it, give some partial results and some related problems based on the work of Kemer.* Support by DePaul University Faculty Research Council gratefully acknowledged.
LA - eng
KW - Incidence Algebras; Polynomial Identities; Verbally Prime T-ideals
UR - http://eudml.org/doc/288271
ER -

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