Eduardo N Marcos - Academia.edu (original) (raw)

Eduardo N Marcos

I am a mathematician, who works in Representations of finite dimensional algebras and related topics.I am also a gran dad with 3 grand kids and a dad with 4 children.

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Papers by Eduardo N Marcos

Research paper thumbnail of On the first <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>τ</mi></mrow><annotation encoding="application/x-tex">τ</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.4306em;"></span><span class="mord mathnormal" style="margin-right:0.1132em;">τ</span></span></span></span>-tilting Hochschild cohomology of an algebra

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Research paper thumbnail of Homogeneous triples for homogeneous algebras with two relations

arXiv (Cornell University), Dec 13, 2018

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Research paper thumbnail of On the existence of a derived equivalence between a Koszul algebra and its Yoneda algebra

arXiv (Cornell University), Sep 9, 2012

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Research paper thumbnail of Homogeneous algebras via homogeneous triples

Journal of Algebra, 2021

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Research paper thumbnail of Description of Partial actions

arXiv (Cornell University), Aug 3, 2017

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Research paper thumbnail of Skew category, Galois covering and smash product of a category over a ring

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Research paper thumbnail of COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS This work has been supported by the projects SECYT-ECOS A98E05 and SECYT-CAPES BR1299OG. The first author wishes to thank FAPESP (Brazil) for financial support. The second author has a research scholarship from Cnpq (Brazil). The third and fo...

Glasgow Mathematical Journal, Feb 1, 2003

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Research paper thumbnail of Standardly stratified lower triangular <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">K</mml:mi></mml:math>-algebras with enough idempotents

Journal of Pure and Applied Algebra, May 1, 2023

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Research paper thumbnail of Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology

arXiv (Cornell University), Sep 19, 2020

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Research paper thumbnail of Grothendieck Groups of Quotient Singularities

Transactions of the American Mathematical Society, Jul 1, 1992

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Research paper thumbnail of Erratum to the article Split bounded extension algebras and Han’s conjecture

Pacific Journal of Mathematics, Aug 1, 2022

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Research paper thumbnail of Piecewise hereditary incidence algebras of Dynkin and extended Dynkin type

Communications in Algebra, Nov 1, 2021

Abstract Let be the incidence algebra of a poset . We study some aspects of incidence algebras th... more Abstract Let be the incidence algebra of a poset . We study some aspects of incidence algebras that are piecewise hereditary, which we denominate PHI algebras. We describe the quiver with relations of the PHI algebras of Dynkin type. Also we introduce a new family of PHI algebras of extended Dynkin type, which we call ANS family, in reference to Assem, Nehring, and Skowroński. In this description, the important method was the one of cutting sets on trivial extensions. We implemented this method in the computer algebra system GAP/QPA to shows exactly the quivers with relations resulted.

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Research paper thumbnail of Generating degrees for graded projective resolutions

arXiv (Cornell University), Feb 15, 2017

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Research paper thumbnail of Skew category, Galois covering and smash product of a <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>k</mi></mrow><annotation encoding="application/x-tex">k</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span></span></span></span>-category

arXiv (Cornell University), Dec 10, 2003

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Research paper thumbnail of Hochschild cohomology of a smash product in the nonsemisimple case

arXiv (Cornell University), Nov 17, 2015

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Research paper thumbnail of Hochschild cohomology of a smash product in the nonsemisimple case

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Research paper thumbnail of Partial Actions on Categories

arXiv (Cornell University), Jul 19, 2011

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Research paper thumbnail of Convex subquivers and the finitistic dimension

arXiv (Cornell University), Mar 13, 2017

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Research paper thumbnail of Partial Actions on Categories

Communications in Algebra, Jun 1, 2016

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Research paper thumbnail of The strong global dimension of piecewise hereditary algebras

Journal of Algebra, Jul 1, 2017

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Research paper thumbnail of On the first <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>τ</mi></mrow><annotation encoding="application/x-tex">τ</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.4306em;"></span><span class="mord mathnormal" style="margin-right:0.1132em;">τ</span></span></span></span>-tilting Hochschild cohomology of an algebra

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Homogeneous triples for homogeneous algebras with two relations

arXiv (Cornell University), Dec 13, 2018

Bookmarks Related papers MentionsView impact

Research paper thumbnail of On the existence of a derived equivalence between a Koszul algebra and its Yoneda algebra

arXiv (Cornell University), Sep 9, 2012

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Research paper thumbnail of Homogeneous algebras via homogeneous triples

Journal of Algebra, 2021

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Research paper thumbnail of Description of Partial actions

arXiv (Cornell University), Aug 3, 2017

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Skew category, Galois covering and smash product of a category over a ring

Bookmarks Related papers MentionsView impact

Research paper thumbnail of COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS This work has been supported by the projects SECYT-ECOS A98E05 and SECYT-CAPES BR1299OG. The first author wishes to thank FAPESP (Brazil) for financial support. The second author has a research scholarship from Cnpq (Brazil). The third and fo...

Glasgow Mathematical Journal, Feb 1, 2003

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Research paper thumbnail of Standardly stratified lower triangular <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">K</mml:mi></mml:math>-algebras with enough idempotents

Journal of Pure and Applied Algebra, May 1, 2023

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Research paper thumbnail of Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology

arXiv (Cornell University), Sep 19, 2020

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Research paper thumbnail of Grothendieck Groups of Quotient Singularities

Transactions of the American Mathematical Society, Jul 1, 1992

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Research paper thumbnail of Erratum to the article Split bounded extension algebras and Han’s conjecture

Pacific Journal of Mathematics, Aug 1, 2022

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Piecewise hereditary incidence algebras of Dynkin and extended Dynkin type

Communications in Algebra, Nov 1, 2021

Abstract Let be the incidence algebra of a poset . We study some aspects of incidence algebras th... more Abstract Let be the incidence algebra of a poset . We study some aspects of incidence algebras that are piecewise hereditary, which we denominate PHI algebras. We describe the quiver with relations of the PHI algebras of Dynkin type. Also we introduce a new family of PHI algebras of extended Dynkin type, which we call ANS family, in reference to Assem, Nehring, and Skowroński. In this description, the important method was the one of cutting sets on trivial extensions. We implemented this method in the computer algebra system GAP/QPA to shows exactly the quivers with relations resulted.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Generating degrees for graded projective resolutions

arXiv (Cornell University), Feb 15, 2017

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Skew category, Galois covering and smash product of a <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>k</mi></mrow><annotation encoding="application/x-tex">k</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.03148em;">k</span></span></span></span>-category

arXiv (Cornell University), Dec 10, 2003

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Research paper thumbnail of Hochschild cohomology of a smash product in the nonsemisimple case

arXiv (Cornell University), Nov 17, 2015

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Research paper thumbnail of Hochschild cohomology of a smash product in the nonsemisimple case

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Partial Actions on Categories

arXiv (Cornell University), Jul 19, 2011

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Research paper thumbnail of Convex subquivers and the finitistic dimension

arXiv (Cornell University), Mar 13, 2017

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Research paper thumbnail of Partial Actions on Categories

Communications in Algebra, Jun 1, 2016

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The strong global dimension of piecewise hereditary algebras

Journal of Algebra, Jul 1, 2017

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