I find both definitions to be confusing and incomplete. The first definition is basically an enterprise architecture (EA) framework, right? The definition that it is a framework means that it defines governance, perspectives (views) and/or some methodology. Similar to TOGAF, or Zachman (does not have a methodology) or other well known architectural frameworks. TOGAF which is a framework for enabling the design, evaluation and build of the right architecture for an organization [3] offers an enterprise macro level architectural definition. TOGAF defines four main domains - business, data, application and technology. Well, the answer is not quite right. SOA is not EA, SOA is applicable at a level lower than the enterprise, it is focused on the service level, wherever it might be. In some cases services could be enterprise-wide and high level, but most of the time it is local.
Lets think of SOA as the "service instantiated" architecture for an enterprise architecture. To make it easier to understand lets take the example of a small non-profit community center. An enterprise architecture for this community center is the evaluation, definition, design and build of an integrated structure unifying the community center to allow it to achieve its mission. For example an enterprise staff appraisal system as part of that architecture. On the other hand SOA will define how the various services related to a staff performance system can be designed in IT resources and aligned to the business goals. Services could be "Staff Feedback Solicitation", "Performance Appraisal Metrics Definition", "Performance Appraisal Metrics Assessment", and several more. So in a sense SOA is addressing the question of "now we have an enterprise wide structure and method to appraise staff performance, how can we actually turn it on, and customize it for different departments, with optimum reusability of approaches and resources.
Other definitions of SOA is that is it is "a methodology and approach that can be utilized to deliver or to support an enterprise architecture initiative" [4].
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[1] Norbert Bieberstein, Sanjay Bose, Marc Fiammante, Keith Jones and Rawn Shah, " Service-Oriented Architecture (SOA) Compass: Business Value, Planning and Enterprise Roadmap, IBM Press, 2006.
[2] Rob High, Stephen Kinder and Steve Graham, "IBM's SOA Foundation: An Architectural Introduction and Overview", IBM Business Consulting Services, Version 1.0, Nov 2005.
[3] The Open Group, "The Open Group Architectural Framework (TOGAF)", Version 8.1.1, Enterprise Edition, 2007.
[4] Niel Maehiter, Quote in an Article titled, "What's the difference between SOA and enterprise architect?" by Joe McKendrick, June 11th, 2007. (link)