A preprojective Auslander-Reiten component for the socle projective modules of some right-peak algebras

R Bautista, I Dorado - Boletín de la Sociedad Matemática Mexicana, 2022 - Springer
Let\varLambda Λ be a right-peak algebra in the sense of Simson (J Algebra 92: 532–571,
1985). Denote by mod _ sp (\varLambda) mod sp (Λ) the full subcategory of mod …

[PDF][PDF] Simply connected right multipeak algebras and the separation property

S Kasjan - Colloquium Mathematicum, 1999 - bibliotekanauki.pl
Let R= k (Q, I) be a finite-dimensional algebra over a field k determined by a bound quiver
(Q, I). We show that if R is a simply connected right multipeak algebra which is chord-free …

Right peak algebras of two—separate stratified posets their galois coverings and socle projective modules

D Simson - Communications in Algebra, 1992 - Taylor & Francis
Let k be a comniutative field. A finite dimensional k-algebra R is called a rtght peak algebra if
there exists a simple projective right ideal P,= e, R (called a right peak of R) such that the …

Tame prinjective type and Tits form of two-peak posets I

S Kasjan, D Simson - Journal of Pure and Applied Algebra, 1996 - Elsevier
The main aim of this paper is to give a simple criterion for a finite poset I with two maximal
elements to have the category I-spr of socle projective representations of tame …

Wide subcategories of finitely generated -modules

EN Marcos, O Mendoza, C Sáenz… - Journal of Algebra and …, 2018 - World Scientific
We explore some properties of wide subcategories of the category mod (Λ) of finitely
generated left Λ-modules, for some artin algebra Λ. In particular we look at wide finitely …

[PDF][PDF] Schurian sp-representation-finite right peak PI-rings and their indecomposable socle projective modules

B Klemp, D Simson - Journal of Algebra, 1990 - researchgate.net
Right peak rings and their socle projective modules were introduced and studied by the
second author [49, 50, 471 in a connection with a study of subspace categories of vector …

[PDF][PDF] Auslander-Reiten quivers of categories of socle projective modules over one point extension algebras

K Nishida - 長崎大学教養部紀要. 自然科学篇, 1985 - nagasaki-u.repo.nii.ac.jp
Let A; be a field and R a finite dimensional/c-algebra. We call R a right peak ring if soc R the
socle of R as a right i?-module is projective. A right peak ring is introduced by Simson in [7] …

Prinjective modules, reflection functors, quadratic forms, and Auslander-Reiten sequences

JA De La Peña, D Simson - Transactions of the American Mathematical …, 1992 - ams.org
Let $ A,\; B $ be artinian rings and let $ _A {M_B} $ be an $(AB) $-bimodule which is a
finitely generated left $ A $-module and a finitely generated right $ B $-module. A right $ _A …

[PDF][PDF] On the Auslander-Reiten valued quiver of right peak rings

B Klemp, D Simson - Fundamenta Mathematicae, 1990 - matwbn.icm.edu.pl
Let R be a right peak artinian ring (1.1). We prove that under suitable assumptions (3.7) on R
there exists a preprojective component of the Auslander-Reiten valued quiver Гнр (Я) of the …

Postprojective components for algebras with certain heredity conditions

L Angeleri-Hügel, FU Coelho - Archiv der Mathematik, 1997 - Springer
Let \mitΛ be a connected artin algebra with the postprojective partition \calP_0,⋯,\calP_n,⋯,\
calP\!_∞, and assume that \calP_0∪\calP_1 is closed under indecomposable submodules …