Apresentamos neste trabalho uma definição de complexidade na categoria derivada de complexos (limitados superiormente) de módulos sobre uma k-álgebra de dimensão finita. Um dos resultados que conseguimos foi uma relação entre a complexidade de objetos indecomponíveis e a noção de dimensão global forte. Mais especificamente, mostramos que a existência de um objeto indecomponível na categoria derivada limitada superiormente com complexidade não nula é condição suficiente para que a respectiva álgebra tenha dimensão global forte infinita. Também investigamos se existe uma relação entre as dimensões global e global forte da classe das álgebras shod (Coelho e Lanzilotta, 2009). Fomos motivados pela caracterização da classe das álgebras quase inclinadas (Happel, Reiten e Smalo, 1996) em termos da sua dimensão global forte, dada por D. Happel e D. Zacharia (2008), e pelo fato das álgebras shod serem uma generalização das álgebras quase inclinadas. Nossa conclusão foi que não existe, em geral, uma caracterização das álgebras shod em termos de sua dimensão global forte. Isto é, mostramos que para cada inteiro d > 2 existe uma álgebra shod estrita cuja dimensão global forte é igual a d. / We introduce in this thesis a definition of complexity in the derived category of bounded above complexes of modules over a finite dimensional k-algebra. One of our result shows a relationship between the complexity of indecomposable objects and the notion of strong global dimension. More specifically, we prove that the existence of an indecomposable object in the category derived bounded above whose complexity is not zero is a sufficient condition for corresponding algebra being of infinite strong global dimension. We also investigate the existence of a relationship between the global dimension and the strong global dimension of shod algebras (Coelho and Lanzilotta, 1999). Our motivation came from characterization of quasitilted algebras (Happel, Reiten and Smalo, 1996) by its strong global dimension, given by D. Happel and D. Zacharia (2008), and from the fact that shod algebras are a generalization of quasitilted algebras. Our conclusion was that there is not in general a characterization of shod algebras in terms of its strong global dimension. This conclusion comes from the fact that we showed that for each integer d > 2 there exists a strictly shod algebra whose strong global dimension is d.

Apresentamos neste trabalho uma definição de complexidade na categoria derivada de complexos (limitados superiormente) de módulos sobre uma k-álgebra de dimensão finita. Um dos resultados que conseguimos foi uma relação entre a complexidade de objetos indecomponíveis e a noção de dimensão global forte. Mais especificamente, mostramos que a existência de um objeto indecomponível na categoria derivada limitada superiormente com complexidade não nula é condição suficiente para que a respectiva álgebra tenha dimensão global forte infinita. Também investigamos se existe uma relação entre as dimensões global e global forte da classe das álgebras shod (Coelho e Lanzilotta, 2009). Fomos motivados pela caracterização da classe das álgebras quase inclinadas (Happel, Reiten e Smalo, 1996) em termos da sua dimensão global forte, dada por D. Happel e D. Zacharia (2008), e pelo fato das álgebras shod serem uma generalização das álgebras quase inclinadas. Nossa conclusão foi que não existe, em geral, uma caracterização das álgebras shod em termos de sua dimensão global forte. Isto é, mostramos que para cada inteiro d > 2 existe uma álgebra shod estrita cuja dimensão global forte é igual a d. / We introduce in this thesis a definition of complexity in the derived category of bounded above complexes of modules over a finite dimensional k-algebra. One of our result shows a relationship between the complexity of indecomposable objects and the notion of strong global dimension. More specifically, we prove that the existence of an indecomposable object in the category derived bounded above whose complexity is not zero is a sufficient condition for corresponding algebra being of infinite strong global dimension. We also investigate the existence of a relationship between the global dimension and the strong global dimension of shod algebras (Coelho and Lanzilotta, 1999). Our motivation came from characterization of quasitilted algebras (Happel, Reiten and Smalo, 1996) by its strong global dimension, given by D. Happel and D. Zacharia (2008), and from the fact that shod algebras are a generalization of quasitilted algebras. Our conclusion was that there is not in general a characterization of shod algebras in terms of its strong global dimension. This conclusion comes from the fact that we showed that for each integer d > 2 there exists a strictly shod algebra whose strong global dimension is d.

Change management is a highly researched topic. With industry changing at record speed, it is inevitable that corporations will engage in a change management endeavor. As humans innately resist change at first exposure, corporations strive to acquire knowledge in adoption. It may not be enough to understand status quo proponents, but rather their underlying long-standing belief systems which may be affecting how they view change. What makes an employee resist corporate change? Most studies conclude that humans will resist innately. This research dives into the unique environment of the equine industry to uncover how long-standing belief systems contribute to adoption or resistance. The motivation for this research began with a fascination with long-standing belief systems within the equine industry. The unique environment of the equine industry is steeped in centuries of tradition, and while housing long-standing belief systems that are time-tested and passed down from generation to generation, in most cases, without awareness. The industry is currently experiencing a phenomenon that has never taken place: a change is occurring that is positioning two equine factions, natural and traditional, against each other in opposing viewpoints. Some view this change as the start of a paradigm shift; others view it as a fad. The nature of natural horsemanship is now up for debate. The study was conducted by using qualitative data collection in a semi-structured format. Forty-one (41) equine leaders in natural and traditional hoof care and horsemanship were recorded in over 30 hours of data. The interview model included not only the industry leaders proposing or resisting change but also the professionals in the industry working in the field, experiencing the conflict first hand. The research presented revealed an interesting finding. Although 61 codes were identified, a specific area within the study revealed a “hybrid” group of codes amongst the traditional horsemen in hoof care and horsemanship. Leaders who are advocating for the status quo showed levels of natural adoption that was unexpected. The research pivoted to the areas of traditional resistors and traditional adopters. The main objective is to decipher why some members of the industry are adopting while others are resisting. As adoption is the main objective for change management, uncovering the reasons for resisting seemed to dictate the data more prevalently. From this research, it can be deduced that there is significant evidence to support the findings that people who resist change may have these characteristics or traits in their belief system: Strong traditional beliefs such as culture and history, honor-driven, strong religious ties, defensive by nature, communicate well, believe safe, minimal adaptation (innovation), and consider themselves to be trustworthy and responsible, are people-oriented and outgoing. According to this research, people with those traits and characteristics are more apt to resist change and may be a potential problem when instituting change in an organization. This research points towards the significant evidence to support the findings that people who resist change may have these characteristics or traits in their belief system: Frustration in industry or a sense of apathy, open-mindedness or flexibility, vulnerability, communicate well, family ties, controlling and shows hero tendencies. Not many other industries can report that it has remained unchanged over time, even in the face of industrial revolution, war, and domestication. However, in the past 20 years, the equine industry has been divided through a new belief system that is challenging these time-tested traditions and beliefs regarding hoof care and horsemanship. The natural horse viewpoint has created an opposing faction to the traditional belief system that governed horse care and welfare since the dawn of time. The qualitative data that was gathered for this research allows for the synthesis of the proposed paradigm shift and opposing force analysis. Although not a true paradigm shift to date, these two factions, natural and traditional, are dividing the industry in two. Not a more perfect scenario could be present to study long-standing belief systems in relation to adoption and resistance to change. The Hybrid Adaptation Model was formed from the qualitative data provided by 41 industry experts through the grounded theory method. This model can be used to navigate through the change management process. This research revealed a theory that adaptation must occur prior to adoption and partial adoption may cause a “hybrid” sector.

Master Evil plans to rule the earth and set up his evil empire so that all may worship and adore him. However, six teenagers discover six crosses that have powers that will help them defeat the evil that will soon cross their path. Each cross possesses a quality of God that each of these teenagers must develop in order to stop Master Evil: faith, peace, salvation, truth, righteousness, and the Spirit. These six teenagers pose as a threat to Master Evil's plans, and he'll stop at nothing to defeat them and rule the world. It is the ultimate battle between good and evil. These six young people must have faith themselves and each other, but most importantly, they must have faith in God in order to defeat the ultimate evil.

Master Evil plans to rule the earth and set up his evil empire so that all may worship and adore him. However, six teenagers discover six crosses that have powers that will help them defeat the evil that will soon cross their path. Each cross possesses a quality of God that each of these teenagers must develop in order to stop Master Evil: faith, peace, salvation, truth, righteousness, and the Spirit. These six teenagers pose as a threat to Master Evil's plans, and he'll stop at nothing to defeat them and rule the world. It is the ultimate battle between good and evil. These six young people must have faith themselves and each other, but most importantly, they must have faith in God in order to defeat the ultimate evil.