we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.

the main objective of this study is to swing krull intersection theorem in primary decomposition of rings and modules to the primary decomposition of soft rings and soft modules. to fulfill this aim several notions like soft prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a given unitary commutative ring. consequently, the p...

Many observations about coalgebras were inspired by comparable situations for algebras. Despite the prominent role of prime algebras, the theory of a corresponding notion for coalgebras was not well understood so far. Coalgebras C over fields may be called coprime provided the dual algebra C∗ is prime. This definition, however, is not intrinsic it strongly depends on the base ring being a field...

In this paper, a novel ‘‘delayand utility-oriented (DUO)’’ resource allocation algorithm for the mixture of real-time (RT) and non-real-time services in orthogonal frequency division multiple access systems is proposed. The proposed DUO algorithm considers delayutility function and rate-utility function simultaneously, scheduling RT packets approaching the deadline first and then achieving as m...

The Interactive Musical Partner (IMP) is software designed for use in duo improvisations, with one human improviser and one instance of IMP, focusing on a freely improvised duo aesthetic. IMP has Musical Personality Settings (MPS) that can be set prior to performance, and these MPS guide the way IMP responds to musical input. The MPS also govern the probability of particular outcomes from IMP’s...

The concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. The notion of free fuzzy modules was introducedby Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameriintroduced the concept of projective and injective L-modules. In this paper we give analternate definition for projective L-modules. We prove that e...

let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...