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On the representation dimension of tilted and laura algebras
(Academic Press Inc Elsevier Science, 2006-02)
We prove that the representation dimension of a tilted, or of a strict laura algebra, is at most three.
Laura Skew Group Algebras
(Taylor & Francis, 2007-07)
We prove that if A is an artin algebra, G is a finite group acting on A such that |G| is invertible in A, and R=A[G]b is a basic algebra associated with the skew group algebra, then A is left supported (or right supported, ...
Monadic BL-algebras: The equivalent algebraic semantics of Hájek's monadic fuzzy logic
(Elsevier Science, 2017-08)
In this article we introduce the variety of monadic BL-algebras as BL-algebras endowed with two monadic operators ∀ and ∃. After a study of the basic properties of this variety we show that this class is the equivalent ...
Polar orthogonal representations of real reductive algebraic groups
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural ...
The radical of a module category of string algebra
(Taylor, 2017-05)
We study how to read from the ordinary quiver of a representation-finite string algebra, the minimal lower bound m ≥ 1 such that the mth power of the radical of its module category vanishes. We also show how to read the ...
Free three-valued Closure Lukasiewicz Algebras
(Jagiellonian University Press, 2007-12)
In this paper, the structure of finitely generated free objects in the variety of three-valued closure Lukasiewicz algebras is determined. We describe their indecomposable factors and we give their cardinality.
The Lattice of Subvarieties of Monadic Lukasiewicz Algebras
(Old City Publishing, Inc, 2007-12-28)
In this paper we describe the lattice of subvarieties of the variety ofmonadic Łukasiewicz-Moisil algebras. We then characterize all these subvarieties by means of identities.
On the radical of the module category of an endomorphism algebra
(Springer, 2020-06)
Given a finite dimensional algebra A over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the algebra A and the induced morphism in the ...
FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
In this paper, we define and study a special type of trisections in a module category, namely the compact trisections which characterize quasi-directed components. We apply this notion to the study of laura algebras and ...