Quotients of $C(X)$ by uniform algebras

Algebras of Quotients of Path Algebras

Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex connects to a line point (equivalently, the Leavitt path algebra has essential socle). We also introduce and characterize the algebraic counterpa...

Algebras of Quotients of Leavitt Path Algebras

We start this paper by showing that the Leavitt path algebra of a (row-finite) graph is an algebra of quotients of the corresponding path algebra. The path algebra is semiprime if and only if whenever there is a path connecting two vertices, there is another one in the opposite direction. Semiprimeness is studied because, for acyclic graphs, the Leavitt path algebra is a Fountain-Gould algebra ...

Quotients of Interval Effect Algebras

Nearly every orthostructure that ha革 been propos磁盘s a model for a logic of 尹ropositions a伍li在ted with a phys沁al 巧slem can be represented as an interval effi苦ct algebra; t如at is, as the p革rtial algeb稳稳nder addition of an ìnt在rval from zero 10 an order unìt i挂在苦硝ially order时 Ab母lian gro辑p. If the sySlem ìs in a state that precludes ce戎ain elements of such an interval, an appropria毛e quotienl ìnle...

Title: Q-schur Algebras as Quotients of Quantized Enveloping Algebras

Independence Algebras, Basis Algebras and Semigroups of Quotients

We show that if A is a stable basis algebra satisfying the distributivity condition, then B is a reduct of an independence algebra A having the same rank. If this rank is finite, then the endomorphism monoid of B is a left order in the endomorphism monoid of A.