ON INCIDENCE MODULO IDEAL RINGS-Reference-Cited by-同舟云学术

ON INCIDENCE MODULO IDEAL RINGS

Published:2007-08 Issue:04 Volume:06 Page:553-586
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

DOKUCHAEV M. A.¹,KIRICHENKO V. V.²,NOVIKOV B. V.³,PETRAVCHUK A. P.²

Affiliation:

1. Departamento de Matematica Univ. de São Paulo, Caixa Postal 66281, São Paulo, SP, 05315-970 – Brazil, Brazil

2. Faculty of Mechanics and Mathematics, Kiev National, Taras Shevchenko Univ., Vladimirskaya Str., 64, 01033 Kiev, Ukraine

3. Faculty of Mechanics and Mathematics, Kharkov National, Karazin Univ., Svobody sq., 4, 61077 Kharkov, Ukraine

Abstract

For a given associative ring B, a two-sided ideal J ⊂ B and a finite partially ordered set P, we study the ring A = I(P, B, J) of incidence modulo J matrices determined by P. The properties of A involving its radical and quiver are investigated, and the interaction of A with serial rings is explored. The category of A-modules is studied if P is linearly ordered. Applications to the general linear group over some local rings are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498807002399

Reference42 articles.

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